131330880 has 168 divisors, whose sum is σ = 466612224. Its totient is φ = 33868800.

The previous prime is 131330863. The next prime is 131330909. The reversal of 131330880 is 88033131.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88545 + ... + 90015.

Almost surely, 2^131330880 is an apocalyptic number.

131330880 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 131330880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233306112).

131330880 is an abundant number, since it is smaller than the sum of its proper divisors (335281344).

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

131330880 is a wasteful number, since it uses less digits than its factorization.

131330880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 131330880 is about 11459.9685863444. The cubic root of 131330880 is about 508.3025457181.

The spelling of 131330880 in words is "one hundred thirty-one million, three hundred thirty thousand, eight hundred eighty".