131393664 has 320 divisors, whose sum is σ = 444312000. Its totient is φ = 38320128.

The previous prime is 131393659. The next prime is 131393677. The reversal of 131393664 is 466393131.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4530802 + ... + 4530830.

It is an arithmetic number, because the mean of its divisors is an integer number (1388475).

Almost surely, 2^131393664 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 131393664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222156000).

131393664 is an abundant number, since it is smaller than the sum of its proper divisors (312918336).

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

131393664 is a wasteful number, since it uses less digits than its factorization.

131393664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 76 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 131393664 is about 11462.7075335629. The cubic root of 131393664 is about 508.3835324668.

The spelling of 131393664 in words is "one hundred thirty-one million, three hundred ninety-three thousand, six hundred sixty-four".