131375664 has 180 divisors, whose sum is σ = 438654216. Its totient is φ = 36578304.

The previous prime is 131375663. The next prime is 131375683. The reversal of 131375664 is 466573131.

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

Its product of digits (45360) is a multiple of the sum of its prime factors (504).

It is not an unprimeable number, because it can be changed into a prime (131375663) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 303192 + ... + 303624.

Almost surely, 2^131375664 is an apocalyptic number.

131375664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131375664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219327108).

131375664 is an abundant number, since it is smaller than the sum of its proper divisors (307278552).

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

131375664 is a wasteful number, since it uses less digits than its factorization.

131375664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 488 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 131375664 is about 11461.9223518570. The cubic root of 131375664 is about 508.3603164273.

The spelling of 131375664 in words is "one hundred thirty-one million, three hundred seventy-five thousand, six hundred sixty-four".