131165600 has 72 divisors (see below), whose sum is σ = 322979328. Its totient is φ = 52012800.

The previous prime is 131165549. The next prime is 131165623. The reversal of 131165600 is 6561131.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100955 + ... + 102245.

It is an arithmetic number, because the mean of its divisors is an integer number (4485824).

Almost surely, 2^131165600 is an apocalyptic number.

131165600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131165600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161489664).

131165600 is an abundant number, since it is smaller than the sum of its proper divisors (191813728).

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

131165600 is a wasteful number, since it uses less digits than its factorization.

131165600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 131165600 is about 11452.7551270426. The cubic root of 131165600 is about 508.0892231734.

The spelling of 131165600 in words is "one hundred thirty-one million, one hundred sixty-five thousand, six hundred".