132789312 has 168 divisors, whose sum is σ = 410821632. Its totient is φ = 40857600.

The previous prime is 132789299. The next prime is 132789331. The reversal of 132789312 is 213987231.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 695137 + ... + 695327.

Almost surely, 2^132789312 is an apocalyptic number.

132789312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132789312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205410816).

132789312 is an abundant number, since it is smaller than the sum of its proper divisors (278032320).

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

132789312 is a wasteful number, since it uses less digits than its factorization.

132789312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 284 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 132789312 is about 11523.4244910096. The cubic root of 132789312 is about 510.1771933312.

The spelling of 132789312 in words is "one hundred thirty-two million, seven hundred eighty-nine thousand, three hundred twelve".