131407864 has 32 divisors (see below), whose sum is σ = 287585280. Its totient is φ = 55118304.

The previous prime is 131407849. The next prime is 131407873. The reversal of 131407864 is 468704131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22332 + ... + 27595.

It is an arithmetic number, because the mean of its divisors is an integer number (8987040).

Almost surely, 2^131407864 is an apocalyptic number.

131407864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131407864 is an abundant number, since it is smaller than the sum of its proper divisors (156177416).

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

131407864 is a wasteful number, since it uses less digits than its factorization.

131407864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49987 (or 49983 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 131407864 is about 11463.3269167376. The cubic root of 131407864 is about 508.4018458463.

The spelling of 131407864 in words is "one hundred thirty-one million, four hundred seven thousand, eight hundred sixty-four".