131616464 has 40 divisors (see below), whose sum is σ = 298224960. Its totient is φ = 55093248.

The previous prime is 131616427. The next prime is 131616481. The reversal of 131616464 is 464616131.

It is a self number, because there is not a number n which added to its sum of digits gives 131616464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8849 + ... + 18480.

It is an arithmetic number, because the mean of its divisors is an integer number (7455624).

Almost surely, 2^131616464 is an apocalyptic number.

131616464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131616464 is an abundant number, since it is smaller than the sum of its proper divisors (166608496).

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

131616464 is a wasteful number, since it uses less digits than its factorization.

131616464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27387 (or 27381 counting only the distinct ones).

The product of its digits is 10368, while the sum is 32.

The square root of 131616464 is about 11472.4218890346. The cubic root of 131616464 is about 508.6707200583.

The spelling of 131616464 in words is "one hundred thirty-one million, six hundred sixteen thousand, four hundred sixty-four".