132628672512 has 832 divisors, whose sum is σ = 483124838400. Its totient is φ = 35115171840.

The previous prime is 132628672481. The next prime is 132628672537. The reversal of 132628672512 is 215276826231.

132628672512 is a `hidden beast` number, since 1 + 3 + 2 + 62 + 8 + 6 + 72 + 512 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1044320193 + ... + 1044320319.

Almost surely, 2^132628672512 is an apocalyptic number.

132628672512 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 132628672512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241562419200).

132628672512 is an abundant number, since it is smaller than the sum of its proper divisors (350496165888).

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

132628672512 is a wasteful number, since it uses less digits than its factorization.

132628672512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 229 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 132628672512 in words is "one hundred thirty-two billion, six hundred twenty-eight million, six hundred seventy-two thousand, five hundred twelve".