128139264000 has 864 divisors, whose sum is σ = 510360963840. Its totient is φ = 30670848000.

The previous prime is 128139263983. The next prime is 128139264007. The reversal of 128139264000 is 462931821.

128139264000 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 3 + 9 + 2 + 640 + 0 + 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 not an unprimeable number, because it can be changed into a prime (128139264007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1622015961 + ... + 1622016039.

It is an arithmetic number, because the mean of its divisors is an integer number (590695560).

Almost surely, 2^128139264000 is an apocalyptic number.

128139264000 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 128139264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255180481920).

128139264000 is an abundant number, since it is smaller than the sum of its proper divisors (382221699840).

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

128139264000 is an frugal number, since it uses more digits than its factorization.

128139264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 128139264000 in words is "one hundred twenty-eight billion, one hundred thirty-nine million, two hundred sixty-four thousand".