128331383115060 has 144 divisors (see below), whose sum is σ = 392083374009600. Its totient is φ = 33974550104832.

The previous prime is 128331383115037. The next prime is 128331383115083. The reversal of 128331383115060 is 60511383133821.

128331383115060 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 3 + 138 + 3 + 1 + 1 + 506 + 0 = 666.

128331383115060 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (128331383115037) and next prime (128331383115083).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 128331383114997 and 128331383115015.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1635192901 + ... + 1635271379.

It is an arithmetic number, because the mean of its divisors is an integer number (2722801208400).

Almost surely, 2^{128331383115060} is an apocalyptic number.

128331383115060 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 128331383115060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196041687004800).

128331383115060 is an abundant number, since it is smaller than the sum of its proper divisors (263751990894540).

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

128331383115060 is a wasteful number, since it uses less digits than its factorization.

128331383115060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143990 (or 143985 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 128331383115060 in words is "one hundred twenty-eight trillion, three hundred thirty-one billion, three hundred eighty-three million, one hundred fifteen thousand, sixty".