132759889920 has 384 divisors, whose sum is σ = 539344915200. Its totient is φ = 30344675328.

The previous prime is 132759889907. The next prime is 132759889961. The reversal of 132759889920 is 29988957231.

132759889920 is a `hidden beast` number, since 1 + 32 + 7 + 598 + 8 + 9 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1901062 + ... + 1969658.

It is an arithmetic number, because the mean of its divisors is an integer number (1404544050).

Almost surely, 2^132759889920 is an apocalyptic number.

132759889920 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 132759889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269672457600).

132759889920 is an abundant number, since it is smaller than the sum of its proper divisors (406585025280).

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

132759889920 is an equidigital number, since it uses as much as digits as its factorization.

132759889920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68640 (or 68614 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 132759889920 in words is "one hundred thirty-two billion, seven hundred fifty-nine million, eight hundred eighty-nine thousand, nine hundred twenty".