Number Gossip

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Unique Properties of 135

  • 135 is the smallest three-digit number that is the sum of its first digit and the square of its second digit and the cube of its third digit: 135 = 11 + 32 + 53
  • 135 is the smallest anagraprod integer: the set of digits of n is the same as the set of digits of the products of all pair of two consecutive digits of n
  • 135 is the smallest number n such that σ(n+1) − σ(n) = σ(n)/d(n), where d(n) denotes the number of divisors of n

Common Properties of 135