131537680 has 20 divisors (see below), whose sum is σ = 305825292. Its totient is φ = 52615040.

The previous prime is 131537671. The next prime is 131537719. The reversal of 131537680 is 86735131.

It can be written as a sum of positive squares in 2 ways, for example, as 40602384 + 90935296 = 6372^2 + 9536^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×131537680² = 34604322519564800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 822031 + ... + 822190.

Almost surely, 2^131537680 is an apocalyptic number.

131537680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131537680 is an abundant number, since it is smaller than the sum of its proper divisors (174287612).

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

131537680 is a wasteful number, since it uses less digits than its factorization.

131537680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644234 (or 1644228 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 131537680 is about 11468.9877495793. The cubic root of 131537680 is about 508.5692051171.

The spelling of 131537680 in words is "one hundred thirty-one million, five hundred thirty-seven thousand, six hundred eighty".