132990768864000 has 720 divisors, whose sum is σ = 497762274129120. Its totient is φ = 35259090739200.

The previous prime is 132990768863987. The next prime is 132990768864007. The reversal of 132990768864000 is 468867099231.

132990768864000 is a `hidden beast` number, since 1 + 3 + 2 + 9 + 90 + 7 + 68 + 86 + 400 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (132990768864007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 448267711 + ... + 448564289.

It is an arithmetic number, because the mean of its divisors is an integer number (691336491846).

Almost surely, 2^{132990768864000} is an apocalyptic number.

132990768864000 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 132990768864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248881137064560).

132990768864000 is an abundant number, since it is smaller than the sum of its proper divisors (364771505265120).

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

132990768864000 is an equidigital number, since it uses as much as digits as its factorization.

132990768864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296795 (or 296762 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 132990768864000 in words is "one hundred thirty-two trillion, nine hundred ninety billion, seven hundred sixty-eight million, eight hundred sixty-four thousand".