132164238358080 has 3136 divisors, whose sum is σ = 551176166965248. Its totient is φ = 29963274485760.

The previous prime is 132164238358013. The next prime is 132164238358121. The reversal of 132164238358080 is 80853832461231.

132164238358080 is a `hidden beast` number, since 1 + 3 + 2 + 16 + 42 + 3 + 8 + 3 + 580 + 8 + 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 (23) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 121586235297 + ... + 121586236383.

Almost surely, 2^{132164238358080} is an apocalyptic number.

132164238358080 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 132164238358080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275588083482624).

132164238358080 is an abundant number, since it is smaller than the sum of its proper divisors (419011928607168).

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

132164238358080 is a wasteful number, since it uses less digits than its factorization.

132164238358080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 132164238358080 in words is "one hundred thirty-two trillion, one hundred sixty-four billion, two hundred thirty-eight million, three hundred fifty-eight thousand, eighty".