131581080 has 96 divisors (see below), whose sum is σ = 450169200. Its totient is φ = 33239808.

The previous prime is 131581067. The next prime is 131581097. The reversal of 131581080 is 80185131.

131581080 is a `hidden beast` number, since 1 + 3 + 1 + 581 + 0 + 80 = 666.

It is a super-2 number, since 2×131581080² = 34627161227932800, 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 23 ways as a sum of consecutive naturals, for example, 2779 + ... + 16458.

Almost surely, 2^131581080 is an apocalyptic number.

131581080 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 131581080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225084600).

131581080 is an abundant number, since it is smaller than the sum of its proper divisors (318588120).

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

131581080 is a wasteful number, since it uses less digits than its factorization.

131581080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19273 (or 19266 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 131581080 is about 11470.8796524068. The cubic root of 131581080 is about 508.6251319979.

The spelling of 131581080 in words is "one hundred thirty-one million, five hundred eighty-one thousand, eighty".