131328864 has 72 divisors (see below), whose sum is σ = 387321480. Its totient is φ = 43773696.

The previous prime is 131328851. The next prime is 131328871. The reversal of 131328864 is 468823131.

131328864 is a `hidden beast` number, since 1 + 313 + 288 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×131328864³ (a number of 25 digits) contains 333 as substring.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 669 + ... + 16220.

It is an arithmetic number, because the mean of its divisors is an integer number (5379465).

Almost surely, 2^131328864 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 131328864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193660740).

131328864 is an abundant number, since it is smaller than the sum of its proper divisors (255992616).

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

131328864 is an equidigital number, since it uses as much as digits as its factorization.

131328864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16914 (or 16894 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 131328864 is about 11459.8806276505. The cubic root of 131328864 is about 508.2999447986.

The spelling of 131328864 in words is "one hundred thirty-one million, three hundred twenty-eight thousand, eight hundred sixty-four".