131890560 has 128 divisors (see below), whose sum is σ = 426612960. Its totient is φ = 34652160.

The previous prime is 131890559. The next prime is 131890597. The reversal of 131890560 is 65098131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×131890560² = 34790239634227200, which contains 22 as substring.

It is a congruent number.

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, 139690 + ... + 140630.

Almost surely, 2^131890560 is an apocalyptic number.

131890560 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 131890560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213306480).

131890560 is an abundant number, since it is smaller than the sum of its proper divisors (294722400).

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

131890560 is an equidigital number, since it uses as much as digits as its factorization.

131890560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 131890560 is about 11484.3615408084. The cubic root of 131890560 is about 509.0235835520.

The spelling of 131890560 in words is "one hundred thirty-one million, eight hundred ninety thousand, five hundred sixty".