Here is a fun number

This number is a 137=3+7+127 It is also [1/elementarycharge squared] of the electron, when using ε0 = c = ħ = 1. These are units normalized.

127 is the Null number (exponent for (3/2)^127) when Higgs is (1/2 + sqrt(2)/2)^107.

Lets see, 6*17 = 92, which was the wave number occupied by the Neutron, which gave up the electron and shifted the wave offset of the nominal electron wave number, making charge. The nominal wave number that matches at that point was 91, or 7*13.

All of these primes appear because we humans matched our number line to the various spectra of the standard model, and our number line thus generated primes to make separable groups obey our grammar. This is perfectly valid, but the reason the vacuum behaves this way is that it is up against the density limit, Higgs.

These are all from the congestion of the vacuum inducing separable wave motion which is given to the proton so it can make a stable gyro out of 3 quarks, with their own wave motion,  and a huge separable motion at 17 at the proton center. That ability of making a separable group motion at 17 allows the proton to be stable up against the Higgs limit.

 The 137 is the number at the bottom inverted.  The charge, e, is a Null/Phase ratio,  determined by the mixing angle, which comes out to 1/3 of the nominal Null ratio packed with phase imbalance. The square of charge appears because they want density gradient induced by electron unit phase imbalance tangential to a sphere surface.

In short, this is the impedance of light motion induced by Higgs causing renormalizing of huge groups of bubbles.  Bubbles in a slightly density curved vacuum, have signal to noise, that is why they ran up against Higgs, and that is why they naturally group so as to induce separability.

IJ Good says:

There have been a few examples of numerology that have led to theories that transformed society: see the mention of Kirchhoff and Balmer in Good (1962, p. 316) ... and one can well include Kepler on account of his third law. It would be fair enough to say that numerology was the origin of the theories of electromagnetism, quantum mechanics, gravitation.... So I intend no disparagement when I describe a formula as numerological.
When a numerological formula is proposed, then we may ask whether it is correct. ... I think an appropriate definition of correctness is that the formula has a good explanation, in a Platonic sense, that is, the explanation could be based on a good theory that is not yet known but ‘exists’ in the universe of possible reasonable ideas.
—I. J. Good, I. J. Good (1990). "A Quantal Hypothesis for Hadrons and the Judging of Physical Numerology." in G. R. Grimmett (Editor), D. J. A. Welsh (Editor). Disorder in Physical Systems. Oxford University Press. p. 141. ISBN 978-0198532156.

Do vacuum bubbles do numerology?  Sure, they are bubbles finding equilibrium.  Physicist get confused because they think the vacuum does integrals and differentials according to Isaacs rules of grammar. The scales are easy to understand.  At large scales, the vacuum appears to obey Isaac, fine.  At quantum scales the vacuum appears to obey finite sampled systems, fine. At even smaller scales the vacuum just appears to be adjusting its sample rate to the density of free space bubbles. Then, at very extremely large scales, the vacuum appears to be ponderously grouping baryons.