132713328 has 80 divisors (see below), whose sum is σ = 393724800. Its totient is φ = 38096640.

The previous prime is 132713311. The next prime is 132713359. The reversal of 132713328 is 823317231.

It is a super-2 number, since 2×132713328² = 35225654857671168, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132713295 and 132713304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3418 + ... + 16646.

It is an arithmetic number, because the mean of its divisors is an integer number (4921560).

Almost surely, 2^132713328 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 132713328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196862400).

132713328 is an abundant number, since it is smaller than the sum of its proper divisors (261011472).

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

132713328 is a wasteful number, since it uses less digits than its factorization.

132713328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13270 (or 13264 counting only the distinct ones).

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

The square root of 132713328 is about 11520.1270826324. The cubic root of 132713328 is about 510.0798644632.

The spelling of 132713328 in words is "one hundred thirty-two million, seven hundred thirteen thousand, three hundred twenty-eight".