128573874000 has 1440 divisors, whose sum is σ = 561889036800. Its totient is φ = 27143424000.

The previous prime is 128573873963. The next prime is 128573874007. The reversal of 128573874000 is 478375821.

128573874000 is a `hidden beast` number, since 1 + 2 + 8 + 573 + 8 + 74 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128573874007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 537965881 + ... + 537966119.

It is an arithmetic number, because the mean of its divisors is an integer number (390200720).

Almost surely, 2^128573874000 is an apocalyptic number.

128573874000 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 128573874000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280944518400).

128573874000 is an abundant number, since it is smaller than the sum of its proper divisors (433315162800).

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

128573874000 is a wasteful number, since it uses less digits than its factorization.

128573874000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 128573874000 in words is "one hundred twenty-eight billion, five hundred seventy-three million, eight hundred seventy-four thousand".