132116978448000 has 5120 divisors, whose sum is σ = 627640107494400. Its totient is φ = 26802192384000.

The previous prime is 132116978447933. The next prime is 132116978448071. The reversal of 132116978448000 is 844879611231.

132116978448000 is a `hidden beast` number, since 1 + 3 + 21 + 1 + 69 + 7 + 84 + 480 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 639 ways as a sum of consecutive naturals, for example, 430348463847 + ... + 430348464153.

It is an arithmetic number, because the mean of its divisors is an integer number (122585958495).

Almost surely, 2^{132116978448000} is an apocalyptic number.

132116978448000 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 132116978448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313820053747200).

132116978448000 is an abundant number, since it is smaller than the sum of its proper divisors (495523129046400).

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

132116978448000 is a wasteful number, since it uses less digits than its factorization.

132116978448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 132116978448000 in words is "one hundred thirty-two trillion, one hundred sixteen billion, nine hundred seventy-eight million, four hundred forty-eight thousand".