132966432 has 36 divisors (see below), whose sum is σ = 378124110. Its totient is φ = 44322048.

The previous prime is 132966413. The next prime is 132966437. The reversal of 132966432 is 234669231.

132966432 is a `hidden beast` number, since 1 + 3 + 2 + 9 + 6 + 643 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 129140496 + 3825936 = 11364^2 + 1956^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (132966437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 230557 + ... + 231132.

Almost surely, 2^132966432 is an apocalyptic number.

132966432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132966432 is an abundant number, since it is smaller than the sum of its proper divisors (245157678).

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

132966432 is a wasteful number, since it uses less digits than its factorization.

132966432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461705 (or 461694 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 132966432 is about 11531.1071454566. The cubic root of 132966432 is about 510.4039245251.

The spelling of 132966432 in words is "one hundred thirty-two million, nine hundred sixty-six thousand, four hundred thirty-two".