# 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 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 = 1
^{1}+ 3^{2}+ 5^{3} - 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
- 135 is the smallest number n where n and n+1 are both products of 4 primes