128769409125 has 384 divisors, whose sum is σ = 296090795520. Its totient is φ = 54867456000.

The previous prime is 128769409049. The next prime is 128769409127. The reversal of 128769409125 is 521904967821.

It is a happy number.

It is not a de Polignac number, because 128769409125 - 2¹⁵ = 128769376357 is a prime.

It is a super-3 number, since 3×128769409125³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128769409127) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 458253985 + ... + 458254265.

It is an arithmetic number, because the mean of its divisors is an integer number (771069780).

Almost surely, 2^128769409125 is an apocalyptic number.

128769409125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

128769409125 is an abundant number, since it is smaller than the sum of its proper divisors (167321386395).

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

128769409125 is a wasteful number, since it uses less digits than its factorization.

128769409125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 128769409125 in words is "one hundred twenty-eight billion, seven hundred sixty-nine million, four hundred nine thousand, one hundred twenty-five".