128131956000 has 768 divisors, whose sum is σ = 480185072640. Its totient is φ = 33592320000.

The previous prime is 128131955999. The next prime is 128131956013. The reversal of 128131956000 is 659131821.

128131956000 is a `hidden beast` number, since 1 + 2 + 81 + 3 + 19 + 560 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 848555925 + ... + 848556075.

It is an arithmetic number, because the mean of its divisors is an integer number (625240980).

Almost surely, 2^128131956000 is an apocalyptic number.

128131956000 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 128131956000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240092536320).

128131956000 is an abundant number, since it is smaller than the sum of its proper divisors (352053116640).

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

128131956000 is an frugal number, since it uses more digits than its factorization.

128131956000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 128131956000 in words is "one hundred twenty-eight billion, one hundred thirty-one million, nine hundred fifty-six thousand".