131952960 has 84 divisors (see below), whose sum is σ = 453873108. Its totient is φ = 35186688.

The previous prime is 131952937. The next prime is 131952971. The reversal of 131952960 is 69259131.

It can be written as a sum of positive squares in 2 ways, for example, as 85821696 + 46131264 = 9264^2 + 6792^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20029 + ... + 25788.

Almost surely, 2^131952960 is an apocalyptic number.

131952960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131952960 is an abundant number, since it is smaller than the sum of its proper divisors (321920148).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131952960 is a wasteful number, since it uses less digits than its factorization.

131952960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45840 (or 45827 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 131952960 is about 11487.0779574268. The cubic root of 131952960 is about 509.1038472284.

The spelling of 131952960 in words is "one hundred thirty-one million, nine hundred fifty-two thousand, nine hundred sixty".