# 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