132161186304 has 400 divisors, whose sum is σ = 454245979968. Its totient is φ = 37473435648.

The previous prime is 132161186303. The next prime is 132161186357. The reversal of 132161186304 is 403681161231.

132161186304 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 6 + 1 + 18 + 630 + 4 = 666.

132161186304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (132161186303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39769987 + ... + 39773309.

Almost surely, 2^132161186304 is an apocalyptic number.

132161186304 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 132161186304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227122989984).

132161186304 is an abundant number, since it is smaller than the sum of its proper divisors (322084793664).

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

132161186304 is an equidigital number, since it uses as much as digits as its factorization.

132161186304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3497 (or 3472 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 132161186304 in words is "one hundred thirty-two billion, one hundred sixty-one million, one hundred eighty-six thousand, three hundred four".