132141188160 has 448 divisors, whose sum is σ = 472487304960. Its totient is φ = 34763489280.

The previous prime is 132141188147. The next prime is 132141188177. The reversal of 132141188160 is 61881141231.

132141188160 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 411 + 88 + 160 = 666.

132141188160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×132141188160² (a number of 23 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 354265734 + ... + 354266106.

Almost surely, 2^132141188160 is an apocalyptic number.

132141188160 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 132141188160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236243652480).

132141188160 is an abundant number, since it is smaller than the sum of its proper divisors (340346116800).

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

132141188160 is a wasteful number, since it uses less digits than its factorization.

132141188160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 132141188160 in words is "one hundred thirty-two billion, one hundred forty-one million, one hundred eighty-eight thousand, one hundred sixty".