131262564 has 48 divisors (see below), whose sum is σ = 336430080. Its totient is φ = 39647520.

The previous prime is 131262557. The next prime is 131262601. The reversal of 131262564 is 465262131.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7272 + ... + 17759.

It is an arithmetic number, because the mean of its divisors is an integer number (7008960).

Almost surely, 2^131262564 is an apocalyptic number.

It is an amenable number.

131262564 is an abundant number, since it is smaller than the sum of its proper divisors (205167516).

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

131262564 is a wasteful number, since it uses less digits than its factorization.

131262564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25080 (or 25078 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 131262564 is about 11456.9875621823. The cubic root of 131262564 is about 508.2143937679.

The spelling of 131262564 in words is "one hundred thirty-one million, two hundred sixty-two thousand, five hundred sixty-four".