131611680 has 72 divisors (see below), whose sum is σ = 449129772. Its totient is φ = 35096064.

The previous prime is 131611673. The next prime is 131611699. The reversal of 131611680 is 86116131.

It can be written as a sum of positive squares in 2 ways, for example, as 129140496 + 2471184 = 11364^2 + 1572^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44259 + ... + 47138.

Almost surely, 2^131611680 is an apocalyptic number.

131611680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131611680 is an abundant number, since it is smaller than the sum of its proper divisors (317518092).

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

131611680 is a wasteful number, since it uses less digits than its factorization.

131611680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91418 (or 91407 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 131611680 is about 11472.2133871368. The cubic root of 131611680 is about 508.6645569231.

It can be divided in two parts, 13161 and 1680, that added together give a palindrome (14841).

The spelling of 131611680 in words is "one hundred thirty-one million, six hundred eleven thousand, six hundred eighty".