131574664 has 64 divisors (see below), whose sum is σ = 281917440. Its totient is φ = 57127680.

The previous prime is 131574659. The next prime is 131574691. The reversal of 131574664 is 466475131.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118737 + ... + 119839.

It is an arithmetic number, because the mean of its divisors is an integer number (4404960).

Almost surely, 2^131574664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131574664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140958720).

131574664 is an abundant number, since it is smaller than the sum of its proper divisors (150342776).

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

131574664 is a wasteful number, since it uses less digits than its factorization.

131574664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1186 counting only the distinct ones).

The product of its digits is 60480, while the sum is 37.

The square root of 131574664 is about 11470.5999843077. The cubic root of 131574664 is about 508.6168648724.

The spelling of 131574664 in words is "one hundred thirty-one million, five hundred seventy-four thousand, six hundred sixty-four".