132900964946064 has 360 divisors, whose sum is σ = 443266114512312. Its totient is φ = 37041331138560.

The previous prime is 132900964946059. The next prime is 132900964946173. The reversal of 132900964946064 is 460649469009231.

132900964946064 is a `hidden beast` number, since 1 + 3 + 29 + 0 + 0 + 9 + 6 + 494 + 60 + 64 = 666.

132900964946064 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 25411761656064 + 107489203290000 = 5041008^2 + 10367700^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 132900964945992 and 132900964946010.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3209139822 + ... + 3209181234.

Almost surely, 2^{132900964946064} is an apocalyptic number.

132900964946064 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 132900964946064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221633057256156).

132900964946064 is an abundant number, since it is smaller than the sum of its proper divisors (310365149566248).

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

132900964946064 is a wasteful number, since it uses less digits than its factorization.

132900964946064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52575 (or 52559 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 63.

The spelling of 132900964946064 in words is "one hundred thirty-two trillion, nine hundred billion, nine hundred sixty-four million, nine hundred forty-six thousand, sixty-four".