128745751525500 has 432 divisors, whose sum is σ = 400322120444064. Its totient is φ = 32145480499200.

The previous prime is 128745751525481. The next prime is 128745751525511. The reversal of 128745751525500 is 5525157547821.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 114035208936 + ... + 114035210064.

It is an arithmetic number, because the mean of its divisors is an integer number (926671575102).

Almost surely, 2^{128745751525500} is an apocalyptic number.

128745751525500 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 128745751525500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200161060222032).

128745751525500 is an abundant number, since it is smaller than the sum of its proper divisors (271576368918564).

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

128745751525500 is a wasteful number, since it uses less digits than its factorization.

128745751525500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2547 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 19600000, while the sum is 57.

The spelling of 128745751525500 in words is "one hundred twenty-eight trillion, seven hundred forty-five billion, seven hundred fifty-one million, five hundred twenty-five thousand, five hundred".