One hundred [and] thirty-seven is the 33rd prime number; the next is 139, with which it comprises a twin prime, and thus 137 is a Chen prime. 137 is an Eisenstein prime with no imaginary part and a real part of the form 3n − 1. It is also the fourth Stern prime.
Using two radii to divide a circle according to the golden ratio yields sectors of approximately 137° (the golden angle) and 222°.
137 is a strictly ...
The numerical value of the fine structure constant α, a dimensionless physical constant, is approximately 1/137. The physicist Arthur Eddington at one time thought α to be exactly 1/137, but careful measurements have shown this not to be the case: its value is currently estimated at 1/137.035 999 76(50).
This leads to predictions on the nature of electron orbitals. See untriseptium.
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