132312160800 has 144 divisors (see below), whose sum is σ = 478529059680. Its totient is φ = 35283237120.

The previous prime is 132312160763. The next prime is 132312160801. The reversal of 132312160800 is 8061213231.

It is a happy number.

132312160800 is a `hidden beast` number, since 1 + 3 + 2 + 31 + 21 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (132312160801) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3041182 + ... + 3084381.

It is an arithmetic number, because the mean of its divisors is an integer number (3323118470).

Almost surely, 2^132312160800 is an apocalyptic number.

132312160800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132312160800 is an abundant number, since it is smaller than the sum of its proper divisors (346216898880).

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

132312160800 is a wasteful number, since it uses less digits than its factorization.

132312160800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6125592 (or 6125573 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 132312160800 in words is "one hundred thirty-two billion, three hundred twelve million, one hundred sixty thousand, eight hundred".