128182612320 has 1536 divisors, whose sum is σ = 573350400000. Its totient is φ = 26629005312.

The previous prime is 128182612303. The next prime is 128182612343. The reversal of 128182612320 is 23216281821.

It is a happy number.

128182612320 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 8 + 2 + 612 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 816449682 + ... + 816449838.

It is an arithmetic number, because the mean of its divisors is an integer number (373275000).

Almost surely, 2^128182612320 is an apocalyptic number.

128182612320 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 128182612320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286675200000).

128182612320 is an abundant number, since it is smaller than the sum of its proper divisors (445167787680).

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

128182612320 is a wasteful number, since it uses less digits than its factorization.

128182612320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 128182612320 in words is "one hundred twenty-eight billion, one hundred eighty-two million, six hundred twelve thousand, three hundred twenty".