131516640 has 72 divisors (see below), whose sum is σ = 448805448. Its totient is φ = 35070720.

The previous prime is 131516639. The next prime is 131516647. The reversal of 131516640 is 46615131.

131516640 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 16 + 640 = 666.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131516647) 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, 44226 + ... + 47105.

It is an arithmetic number, because the mean of its divisors is an integer number (6233409).

Almost surely, 2^131516640 is an apocalyptic number.

131516640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131516640 is an abundant number, since it is smaller than the sum of its proper divisors (317288808).

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

131516640 is a wasteful number, since it uses less digits than its factorization.

131516640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91352 (or 91341 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 131516640 is about 11468.0704567072. The cubic root of 131516640 is about 508.5420877501.

It can be divided in two parts, 13151 and 6640, that added together give a palindrome (19791).

The spelling of 131516640 in words is "one hundred thirty-one million, five hundred sixteen thousand, six hundred forty".