150 (one hundred [and] fifty) is the natural number following 149 and preceding 151.

In mathematics

  • 150 is the sum of eight consecutive primes (7 11 13 17 19 23 29 31). Given 150, the Mertens function returns 0.
  • 150 is conjectured to be the only minimal difference greater than 1 of any increasing arithmetic progression of n primes (in this case, n = 7) that is not a primorial (a product of the first m primes).
  • The sum of Euler's totient function φ(x) over the first twenty-two integers is 150.
  • 150 is a Harshad number and an abundant number.
  • 150 degrees is the measure of the internal angle of a regular dodecagon.

In other fields

150 is also:

  • The number of degrees in the quincunx astrological aspect explored by Johannes Kepler.
  • The approximate value for Dunbar's number, a theoretical value with implications in sociology and anthropology. It is actually 148.

References


Dunbar's number de grens van het aantal relaties dat je kunt

soup_s_number_lore_in_my_art_style___part_1__by_gdgamer011_dfmvwy8

Tabla de números del 1 al 150 / Números del 1 al 150 para imprimir

Dunbar’s number 150 Sketchplanations

Dunbar's number Why we can only maintain 150 relationships