132516312 has 64 divisors (see below), whose sum is σ = 350092800. Its totient is φ = 41731200.

The previous prime is 132516311. The next prime is 132516353. The reversal of 132516312 is 213615231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132516311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30687 + ... + 34737.

It is an arithmetic number, because the mean of its divisors is an integer number (5470200).

Almost surely, 2^132516312 is an apocalyptic number.

132516312 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 132516312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175046400).

132516312 is an abundant number, since it is smaller than the sum of its proper divisors (217576488).

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

132516312 is a wasteful number, since it uses less digits than its factorization.

132516312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4136 (or 4132 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 132516312 is about 11511.5729594178. The cubic root of 132516312 is about 509.8273310122.

The spelling of 132516312 in words is "one hundred thirty-two million, five hundred sixteen thousand, three hundred twelve".