132913609920 has 336 divisors, whose sum is σ = 562668724800. Its totient is φ = 28043255808.

The previous prime is 132913609903. The next prime is 132913609921. The reversal of 132913609920 is 29906319231.

132913609920 is a `hidden beast` number, since 1 + 3 + 2 + 9 + 13 + 609 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (132913609921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8506 + ... + 515654.

It is an arithmetic number, because the mean of its divisors is an integer number (1674609300).

Almost surely, 2^132913609920 is an apocalyptic number.

132913609920 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 132913609920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281334362400).

132913609920 is an abundant number, since it is smaller than the sum of its proper divisors (429755114880).

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

132913609920 is a wasteful number, since it uses less digits than its factorization.

132913609920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507192 (or 507179 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The spelling of 132913609920 in words is "one hundred thirty-two billion, nine hundred thirteen million, six hundred nine thousand, nine hundred twenty".