128193134520 has 512 divisors, whose sum is σ = 449622835200. Its totient is φ = 28914278400.

The previous prime is 128193134519. The next prime is 128193134561. The reversal of 128193134520 is 25431391821.

It is a congruent number.

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, 531921600 + ... + 531921840.

It is an arithmetic number, because the mean of its divisors is an integer number (878169600).

Almost surely, 2^128193134520 is an apocalyptic number.

128193134520 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 128193134520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224811417600).

128193134520 is an abundant number, since it is smaller than the sum of its proper divisors (321429700680).

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

128193134520 is a wasteful number, since it uses less digits than its factorization.

128193134520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 128193134520 in words is "one hundred twenty-eight billion, one hundred ninety-three million, one hundred thirty-four thousand, five hundred twenty".