131664960 has 336 divisors, whose sum is σ = 542056320. Its totient is φ = 29998080.

The previous prime is 131664947. The next prime is 131665019. The reversal of 131664960 is 69466131.

131664960 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 649 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 423205 + ... + 423515.

Almost surely, 2^131664960 is an apocalyptic number.

131664960 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 131664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271028160).

131664960 is an abundant number, since it is smaller than the sum of its proper divisors (410391360).

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

131664960 is a wasteful number, since it uses less digits than its factorization.

131664960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 131664960 is about 11474.5352847076. The cubic root of 131664960 is about 508.7331880943.

The spelling of 131664960 in words is "one hundred thirty-one million, six hundred sixty-four thousand, nine hundred sixty".