131537640 has 64 divisors (see below), whose sum is σ = 424972800. Its totient is φ = 32378112.

The previous prime is 131537633. The next prime is 131537641. The reversal of 131537640 is 46735131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 131537598 and 131537607.

It is not an unprimeable number, because it can be changed into a prime (131537641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40600 + ... + 43719.

It is an arithmetic number, because the mean of its divisors is an integer number (6640200).

Almost surely, 2^131537640 is an apocalyptic number.

131537640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131537640 is an abundant number, since it is smaller than the sum of its proper divisors (293435160).

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

131537640 is a wasteful number, since it uses less digits than its factorization.

131537640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84346 (or 84342 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 131537640 is about 11468.9860057461. The cubic root of 131537640 is about 508.5691535659.

The spelling of 131537640 in words is "one hundred thirty-one million, five hundred thirty-seven thousand, six hundred forty".