131766580 has 36 divisors (see below), whose sum is σ = 304157700. Its totient is φ = 47914240.

The previous prime is 131766571. The next prime is 131766587. The reversal of 131766580 is 85667131.

131766580 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 93276964 + 38489616 = 9658^2 + 6204^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131766587) 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, 24805 + ... + 29644.

It is an arithmetic number, because the mean of its divisors is an integer number (8448825).

Almost surely, 2^131766580 is an apocalyptic number.

131766580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131766580 is an abundant number, since it is smaller than the sum of its proper divisors (172391120).

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

131766580 is a wasteful number, since it uses less digits than its factorization.

131766580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54480 (or 54467 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 131766580 is about 11478.9624966719. The cubic root of 131766580 is about 508.8640357957.

The spelling of 131766580 in words is "one hundred thirty-one million, seven hundred sixty-six thousand, five hundred eighty".