131792664 has 32 divisors (see below), whose sum is σ = 346824000. Its totient is φ = 41618592.

The previous prime is 131792659. The next prime is 131792669. The reversal of 131792664 is 466297131.

It is an interprime number because it is at equal distance from previous prime (131792659) and next prime (131792669).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131792669) 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, 144054 + ... + 144965.

It is an arithmetic number, because the mean of its divisors is an integer number (10838250).

Almost surely, 2^131792664 is an apocalyptic number.

It is an amenable number.

131792664 is an abundant number, since it is smaller than the sum of its proper divisors (215031336).

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

131792664 is a wasteful number, since it uses less digits than its factorization.

131792664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289047 (or 289043 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 131792664 is about 11480.0986058483. The cubic root of 131792664 is about 508.8976111625.

The spelling of 131792664 in words is "one hundred thirty-one million, seven hundred ninety-two thousand, six hundred sixty-four".