131512992 has 48 divisors (see below), whose sum is σ = 371780640. Its totient is φ = 40465152.

The previous prime is 131512991. The next prime is 131513017. The reversal of 131512992 is 299215131.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (131512991) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51442 + ... + 53937.

It is an arithmetic number, because the mean of its divisors is an integer number (7745430).

Almost surely, 2^131512992 is an apocalyptic number.

131512992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131512992 is an abundant number, since it is smaller than the sum of its proper divisors (240267648).

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

131512992 is a wasteful number, since it uses less digits than its factorization.

131512992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105405 (or 105397 counting only the distinct ones).

The product of its digits is 4860, while the sum is 33.

The square root of 131512992 is about 11467.9114053083. The cubic root of 131512992 is about 508.5373857375.

The spelling of 131512992 in words is "one hundred thirty-one million, five hundred twelve thousand, nine hundred ninety-two".