131882580 has 60 divisors (see below), whose sum is σ = 413725620. Its totient is φ = 35168256.

The previous prime is 131882567. The next prime is 131882581. The reversal of 131882580 is 85288131.

It can be written as a sum of positive squares in 2 ways, for example, as 47279376 + 84603204 = 6876^2 + 9198^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131882581) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 39085 + ... + 42324.

It is an arithmetic number, because the mean of its divisors is an integer number (6895427).

Almost surely, 2^131882580 is an apocalyptic number.

131882580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131882580 is an abundant number, since it is smaller than the sum of its proper divisors (281843040).

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

131882580 is a wasteful number, since it uses less digits than its factorization.

131882580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81430 (or 81419 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 131882580 is about 11484.0141065744. The cubic root of 131882580 is about 509.0133172369.

The spelling of 131882580 in words is "one hundred thirty-one million, eight hundred eighty-two thousand, five hundred eighty".