132125733360 has 160 divisors (see below), whose sum is σ = 455807969280. Its totient is φ = 35178700032.

The previous prime is 132125733343. The next prime is 132125733401. The reversal of 132125733360 is 63337521231.

132125733360 is a `hidden beast` number, since 1 + 3 + 21 + 2 + 573 + 3 + 3 + 60 = 666.

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

It is a congruent number.

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, 1350249 + ... + 1444791.

It is an arithmetic number, because the mean of its divisors is an integer number (2848799808).

Almost surely, 2^132125733360 is an apocalyptic number.

132125733360 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 132125733360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227903984640).

132125733360 is an abundant number, since it is smaller than the sum of its proper divisors (323682235920).

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

132125733360 is a wasteful number, since it uses less digits than its factorization.

132125733360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95212 (or 95200 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The spelling of 132125733360 in words is "one hundred thirty-two billion, one hundred twenty-five million, seven hundred thirty-three thousand, three hundred sixty".