137 number
137 is the natural number following 136 and preceding 138.
| Template:Numbers 100-200 | |
| Cardinal | One hundred [and] thirty seven |
| Ordinal | 137th |
| Factorization | |
| Roman numeral | CXXXVII |
| Binary | 10001001 |
| Octal | 211 |
| Hexadecimal | 89 |
Mathematics
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 . 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 non-palindromic number and a primeval number.
Physics
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.
Other fields
137 is also:
- The year AD 137 or 137 BC.
- The Gematria (i.e. Hebrew numerology) value of the word "Kabbalah", which is of special significance to Jewish mystics.
See also: 130s, list of numbers
