132300864 has 168 divisors, whose sum is σ = 403847808. Its totient is φ = 42923520.

The previous prime is 132300841. The next prime is 132300877. The reversal of 132300864 is 468003231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 730854 + ... + 731034.

It is an arithmetic number, because the mean of its divisors is an integer number (2403856).

Almost surely, 2^132300864 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 132300864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201923904).

132300864 is an abundant number, since it is smaller than the sum of its proper divisors (271546944).

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

132300864 is an equidigital number, since it uses as much as digits as its factorization.

132300864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 132300864 is about 11502.2112656654. The cubic root of 132300864 is about 509.5508848941.

The spelling of 132300864 in words is "one hundred thirty-two million, three hundred thousand, eight hundred sixty-four".