132711883200 has 504 divisors, whose sum is σ = 520392848976. Its totient is φ = 31868928000.

The previous prime is 132711883193. The next prime is 132711883229. The reversal of 132711883200 is 2388117231.

132711883200 is a `hidden beast` number, since 1 + 3 + 271 + 188 + 3 + 200 = 666.

It is a super-2 number, since 2×132711883200² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7666555 + ... + 7683845.

It is an arithmetic number, because the mean of its divisors is an integer number (1032525494).

Almost surely, 2^132711883200 is an apocalyptic number.

132711883200 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 132711883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260196424488).

132711883200 is an abundant number, since it is smaller than the sum of its proper divisors (387680965776).

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

132711883200 is a wasteful number, since it uses less digits than its factorization.

132711883200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17373 (or 17355 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 132711883200 in words is "one hundred thirty-two billion, seven hundred eleven million, eight hundred eighty-three thousand, two hundred".