132615512064 has 672 divisors, whose sum is σ = 470203109376. Its totient is φ = 36548444160.

The previous prime is 132615512011. The next prime is 132615512149. The reversal of 132615512064 is 460215516231.

132615512064 is a `hidden beast` number, since 1 + 3 + 26 + 1 + 551 + 20 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 431972199 + ... + 431972505.

It is an arithmetic number, because the mean of its divisors is an integer number (699707008).

Almost surely, 2^132615512064 is an apocalyptic number.

132615512064 is a gapful number since it is divisible by the number (14) 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 132615512064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235101554688).

132615512064 is an abundant number, since it is smaller than the sum of its proper divisors (337587597312).

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

132615512064 is an frugal number, since it uses more digits than its factorization.

132615512064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 132615512064 in words is "one hundred thirty-two billion, six hundred fifteen million, five hundred twelve thousand, sixty-four".