132628512 has 144 divisors (see below), whose sum is σ = 380207520. Its totient is φ = 40449024.

The previous prime is 132628487. The next prime is 132628523. The reversal of 132628512 is 215826231.

It is a self number, because there is not a number n which added to its sum of digits gives 132628512.

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, 1490164 + ... + 1490252.

It is an arithmetic number, because the mean of its divisors is an integer number (2640330).

Almost surely, 2^132628512 is an apocalyptic number.

132628512 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 132628512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190103760).

132628512 is an abundant number, since it is smaller than the sum of its proper divisors (247579008).

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

132628512 is a wasteful number, since it uses less digits than its factorization.

132628512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 156 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 132628512 is about 11516.4452848959. The cubic root of 132628512 is about 509.9711786865.

The spelling of 132628512 in words is "one hundred thirty-two million, six hundred twenty-eight thousand, five hundred twelve".