132915328 has 64 divisors (see below), whose sum is σ = 325926720. Its totient is φ = 52577280.

The previous prime is 132915319. The next prime is 132915331. The reversal of 132915328 is 823519231.

132915328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 132915293 and 132915302.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5943 + ... + 17353.

It is an arithmetic number, because the mean of its divisors is an integer number (5092605).

Almost surely, 2^132915328 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 132915328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162963360).

132915328 is an abundant number, since it is smaller than the sum of its proper divisors (193011392).

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

132915328 is a wasteful number, since it uses less digits than its factorization.

132915328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11445 (or 11433 counting only the distinct ones).

The product of its digits is 12960, while the sum is 34.

The square root of 132915328 is about 11528.8910134496. The cubic root of 132915328 is about 510.3385270055.

The spelling of 132915328 in words is "one hundred thirty-two million, nine hundred fifteen thousand, three hundred twenty-eight".