Number Gossip

(Enter a number and I'll tell you everything you wanted to know about it but were afraid to ask.)

Unique Properties of 136

  • 136 is the smallest magical sum of a 3 by 3 semimagic squares composed of triangular numbers and squares
  • 136 is the sum of distinct squares 36 and 100 of the smallest two numbers with more than one prime factor
  • 136 is the smallest number (except 1) such that the sum of the cubes of the digits of the sum of the cubes of the digits of n equals n: 13 + 33 + 63 = 244 and 23 + 43 + 43 = 136
  • 136 is the smallest number n such that reverse(σ(n)) = n − φ(n) = cototient(n)
  • 136 is the smallest number n where n and n-1 are both products of 4 primes

Common Properties of 136

Composite
Deficient
Even
Evil
Triangular