132076328448960 has 2240 divisors, whose sum is σ = 588644476231680. Its totient is φ = 27429965660160.

The previous prime is 132076328448937. The next prime is 132076328448973. The reversal of 132076328448960 is 69844823670231.

132076328448960 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 76 + 3 + 2 + 84 + 489 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 12076096612 + ... + 12076107548.

Almost surely, 2^{132076328448960} is an apocalyptic number.

132076328448960 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 132076328448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294322238115840).

132076328448960 is an abundant number, since it is smaller than the sum of its proper divisors (456568147782720).

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

132076328448960 is a wasteful number, since it uses less digits than its factorization.

132076328448960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11136 (or 11117 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 132076328448960 in words is "one hundred thirty-two trillion, seventy-six billion, three hundred twenty-eight million, four hundred forty-eight thousand, nine hundred sixty".