131275264 has 40 divisors (see below), whose sum is σ = 264731940. Its totient is φ = 65028096.

The previous prime is 131275253. The next prime is 131275279. The reversal of 131275264 is 462572131.

It can be written as a sum of positive squares in 2 ways, for example, as 87609600 + 43665664 = 9360^2 + 6608^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 56722 + ... + 58990.

Almost surely, 2^131275264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131275264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132365970).

131275264 is an abundant number, since it is smaller than the sum of its proper divisors (133456676).

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

131275264 is an equidigital number, since it uses as much as digits as its factorization.

131275264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400 (or 2384 counting only the distinct ones).

The product of its digits is 10080, while the sum is 31.

The square root of 131275264 is about 11457.5417956907. The cubic root of 131275264 is about 508.2307836013.

The spelling of 131275264 in words is "one hundred thirty-one million, two hundred seventy-five thousand, two hundred sixty-four".