131664375 has 60 divisors (see below), whose sum is σ = 241235280. Its totient is φ = 69168000.

The previous prime is 131664367. The next prime is 131664419. The reversal of 131664375 is 573466131.

131664375 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 643 + 7 + 5 = 666.

It is not a de Polignac number, because 131664375 - 2³ = 131664367 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (45360) is a multiple of the sum of its prime divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 500494 + ... + 500756.

It is an arithmetic number, because the mean of its divisors is an integer number (4020588).

Almost surely, 2^131664375 is an apocalyptic number.

131664375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131664375 is a deficient number, since it is larger than the sum of its proper divisors (109570905).

131664375 is an equidigital number, since it uses as much as digits as its factorization.

131664375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 360 counting only the distinct ones).

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

The square root of 131664375 is about 11474.5097934509. The cubic root of 131664375 is about 508.7324346432.

The spelling of 131664375 in words is "one hundred thirty-one million, six hundred sixty-four thousand, three hundred seventy-five".