132431312 has 80 divisors (see below), whose sum is σ = 289387728. Its totient is φ = 58306560.

The previous prime is 132431293. The next prime is 132431333. The reversal of 132431312 is 213134231.

It can be written as a sum of positive squares in 8 ways, for example, as 1008016 + 131423296 = 1004^2 + 11464^2 .

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, 451838 + ... + 452130.

Almost surely, 2^132431312 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 132431312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144693864).

132431312 is an abundant number, since it is smaller than the sum of its proper divisors (156956416).

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

132431312 is a wasteful number, since it uses less digits than its factorization.

132431312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 402 counting only the distinct ones).

The product of its digits is 432, while the sum is 20.

The square root of 132431312 is about 11507.8804303833. The cubic root of 132431312 is about 509.7183014361.

Adding to 132431312 its reverse (213134231), we get a palindrome (345565543).

The spelling of 132431312 in words is "one hundred thirty-two million, four hundred thirty-one thousand, three hundred twelve".