132117274800 has 720 divisors, whose sum is σ = 570983454720. Its totient is φ = 28417167360.

The previous prime is 132117274771. The next prime is 132117274819. The reversal of 132117274800 is 8472711231.

132117274800 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 172 + 7 + 480 + 0 = 666.

132117274800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21845377 + ... + 21851423.

It is an arithmetic number, because the mean of its divisors is an integer number (793032576).

Almost surely, 2^132117274800 is an apocalyptic number.

132117274800 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 132117274800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285491727360).

132117274800 is an abundant number, since it is smaller than the sum of its proper divisors (438866179920).

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

132117274800 is a wasteful number, since it uses less digits than its factorization.

132117274800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6115 (or 6081 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 132117274800 in words is "one hundred thirty-two billion, one hundred seventeen million, two hundred seventy-four thousand, eight hundred".