131888320 has 56 divisors (see below), whose sum is σ = 315248544. Its totient is φ = 52555776.

The previous prime is 131888303. The next prime is 131888347. The reversal of 131888320 is 23888131.

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, 107229 + ... + 108451.

Almost surely, 2^131888320 is an apocalyptic number.

131888320 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 131888320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157624272).

131888320 is an abundant number, since it is smaller than the sum of its proper divisors (183360224).

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

131888320 is a wasteful number, since it uses less digits than its factorization.

131888320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 131888320 is about 11484.2640164705. The cubic root of 131888320 is about 509.0207018211.

The spelling of 131888320 in words is "one hundred thirty-one million, eight hundred eighty-eight thousand, three hundred twenty".