132970904 has 64 divisors (see below), whose sum is σ = 284774400. Its totient is φ = 57657600.

The previous prime is 132970891. The next prime is 132970909. The reversal of 132970904 is 409079231.

132970904 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×132970904² = 35362522621154432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132970909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215204 + ... + 215820.

It is an arithmetic number, because the mean of its divisors is an integer number (4449600).

Almost surely, 2^132970904 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 132970904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142387200).

132970904 is an abundant number, since it is smaller than the sum of its proper divisors (151803496).

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

132970904 is a wasteful number, since it uses less digits than its factorization.

132970904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 132970904 is about 11531.3010540875. The cubic root of 132970904 is about 510.4096465225.

The spelling of 132970904 in words is "one hundred thirty-two million, nine hundred seventy thousand, nine hundred four".