132315712320 has 224 divisors, whose sum is σ = 458856161280. Its totient is φ = 32037160960.

The previous prime is 132315712313. The next prime is 132315712339. The reversal of 132315712320 is 23217513231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9106021 + ... + 9120539.

Almost surely, 2^132315712320 is an apocalyptic number.

132315712320 is a gapful number since it is divisible by the number (10) 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 132315712320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229428080640).

132315712320 is an abundant number, since it is smaller than the sum of its proper divisors (326540448960).

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

132315712320 is a wasteful number, since it uses less digits than its factorization.

132315712320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15413 (or 15403 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The spelling of 132315712320 in words is "one hundred thirty-two billion, three hundred fifteen million, seven hundred twelve thousand, three hundred twenty".