132179347192320 has 480 divisors, whose sum is σ = 460769597608320. Its totient is φ = 35017424732160.

The previous prime is 132179347192289. The next prime is 132179347192337. The reversal of 132179347192320 is 23291743971231.

132179347192320 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 7 + 93 + 47 + 192 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7806934255 + ... + 7806951185.

It is an arithmetic number, because the mean of its divisors is an integer number (959936661684).

Almost surely, 2^{132179347192320} is an apocalyptic number.

132179347192320 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 132179347192320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230384798804160).

132179347192320 is an abundant number, since it is smaller than the sum of its proper divisors (328590250416000).

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

132179347192320 is a wasteful number, since it uses less digits than its factorization.

132179347192320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19156 (or 19137 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 132179347192320 in words is "one hundred thirty-two trillion, one hundred seventy-nine billion, three hundred forty-seven million, one hundred ninety-two thousand, three hundred twenty".