132364634371200 has 4608 divisors, whose sum is σ = 638779286937600. Its totient is φ = 26440888320000.

The previous prime is 132364634371163. The next prime is 132364634371259. The reversal of 132364634371200 is 2173436463231.

132364634371200 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 6 + 4 + 6 + 3 + 437 + 1 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 575 ways as a sum of consecutive naturals, for example, 399893155035 + ... + 399893155365.

It is an arithmetic number, because the mean of its divisors is an integer number (138623977200).

Almost surely, 2^{132364634371200} is an apocalyptic number.

132364634371200 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 132364634371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319389643468800).

132364634371200 is an abundant number, since it is smaller than the sum of its proper divisors (506414652566400).

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

132364634371200 is a wasteful number, since it uses less digits than its factorization.

132364634371200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 45.

The spelling of 132364634371200 in words is "one hundred thirty-two trillion, three hundred sixty-four billion, six hundred thirty-four million, three hundred seventy-one thousand, two hundred".