132315493600512 has 360 divisors, whose sum is σ = 403068940509312. Its totient is φ = 43152445440000.

The previous prime is 132315493600489. The next prime is 132315493600529. The reversal of 132315493600512 is 215006394513231.

132315493600512 is a `hidden beast` number, since 1 + 3 + 2 + 31 + 5 + 4 + 9 + 3 + 600 + 5 + 1 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3168377712 + ... + 3168419472.

Almost surely, 2^{132315493600512} is an apocalyptic number.

132315493600512 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 132315493600512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201534470254656).

132315493600512 is an abundant number, since it is smaller than the sum of its proper divisors (270753446908800).

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

132315493600512 is an equidigital number, since it uses as much as digits as its factorization.

132315493600512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45087 (or 45064 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 132315493600512 in words is "one hundred thirty-two trillion, three hundred fifteen billion, four hundred ninety-three million, six hundred thousand, five hundred twelve".