132827392 has 72 divisors (see below), whose sum is σ = 293158656. Its totient is φ = 59744256.

The previous prime is 132827389. The next prime is 132827399. The reversal of 132827392 is 293728231.

It is not an unprimeable number, because it can be changed into a prime (132827399) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99433 + ... + 100759.

It is an arithmetic number, because the mean of its divisors is an integer number (4071648).

Almost surely, 2^132827392 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 132827392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146579328).

132827392 is an abundant number, since it is smaller than the sum of its proper divisors (160331264).

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

132827392 is a wasteful number, since it uses less digits than its factorization.

132827392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383 (or 1369 counting only the distinct ones).

The product of its digits is 36288, while the sum is 37.

The square root of 132827392 is about 11525.0766591811. The cubic root of 132827392 is about 510.2259565196.

The spelling of 132827392 in words is "one hundred thirty-two million, eight hundred twenty-seven thousand, three hundred ninety-two".