128954800128 has 192 divisors, whose sum is σ = 428629743360. Its totient is φ = 33494630400.

The previous prime is 128954800127. The next prime is 128954800133. The reversal of 128954800128 is 821008459821.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128954800123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 336798 + ... + 609378.

It is an arithmetic number, because the mean of its divisors is an integer number (2232446580).

Almost surely, 2^128954800128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128954800128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214314871680).

128954800128 is an abundant number, since it is smaller than the sum of its proper divisors (299674943232).

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

128954800128 is a wasteful number, since it uses less digits than its factorization.

128954800128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272624 (or 272604 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 48.

The spelling of 128954800128 in words is "one hundred twenty-eight billion, nine hundred fifty-four million, eight hundred thousand, one hundred twenty-eight".