131664720 has 160 divisors (see below), whose sum is σ = 454149504. Its totient is φ = 31283200.

The previous prime is 131664713. The next prime is 131664733. The reversal of 131664720 is 27466131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139450 + ... + 140390.

Almost surely, 2^131664720 is an apocalyptic number.

131664720 is a gapful number since it is divisible by the number (10) 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 131664720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227074752).

131664720 is an abundant number, since it is smaller than the sum of its proper divisors (322484784).

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

131664720 is a wasteful number, since it uses less digits than its factorization.

131664720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 131664720 is about 11474.5248267630. The cubic root of 131664720 is about 508.7328789864.

The spelling of 131664720 in words is "one hundred thirty-one million, six hundred sixty-four thousand, seven hundred twenty".