128133176832 has 480 divisors, whose sum is σ = 420259039200. Its totient is φ = 38793904128.

The previous prime is 128133176807. The next prime is 128133176867. The reversal of 128133176832 is 238671331821.

128133176832 is a `hidden beast` number, since 1 + 281 + 331 + 7 + 6 + 8 + 32 = 666.

It is a super-2 number, since 2×128133176832² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61336044 + ... + 61338132.

It is an arithmetic number, because the mean of its divisors is an integer number (875539665).

Almost surely, 2^128133176832 is an apocalyptic number.

128133176832 is a gapful number since it is divisible by the number (12) 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 128133176832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210129519600).

128133176832 is an abundant number, since it is smaller than the sum of its proper divisors (292125862368).

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

128133176832 is an equidigital number, since it uses as much as digits as its factorization.

128133176832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168 (or 2140 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 128133176832 in words is "one hundred twenty-eight billion, one hundred thirty-three million, one hundred seventy-six thousand, eight hundred thirty-two".