131584680 has 48 divisors (see below), whose sum is σ = 427651380. Its totient is φ = 35089152.

The previous prime is 131584669. The next prime is 131584681. The reversal of 131584680 is 86485131.

131584680 is a `hidden beast` number, since 13 + 1 + 584 + 68 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 105390756 + 26193924 = 10266^2 + 5118^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (131584681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 182397 + ... + 183116.

Almost surely, 2^131584680 is an apocalyptic number.

131584680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131584680 is an abundant number, since it is smaller than the sum of its proper divisors (296066700).

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

131584680 is a wasteful number, since it uses less digits than its factorization.

131584680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365530 (or 365523 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 131584680 is about 11471.0365704238. The cubic root of 131584680 is about 508.6297705416.

The spelling of 131584680 in words is "one hundred thirty-one million, five hundred eighty-four thousand, six hundred eighty".