128634713280 has 1344 divisors, whose sum is σ = 520191479808. Its totient is φ = 30098718720.

The previous prime is 128634713279. The next prime is 128634713299. The reversal of 128634713280 is 82317436821.

128634713280 is a `hidden beast` number, since 1 + 2 + 8 + 634 + 7 + 1 + 3 + 2 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1762119324 + ... + 1762119396.

It is an arithmetic number, because the mean of its divisors is an integer number (387047232).

Almost surely, 2^128634713280 is an apocalyptic number.

128634713280 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 128634713280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260095739904).

128634713280 is an abundant number, since it is smaller than the sum of its proper divisors (391556766528).

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

128634713280 is a wasteful number, since it uses less digits than its factorization.

128634713280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 128634713280 in words is "one hundred twenty-eight billion, six hundred thirty-four million, seven hundred thirteen thousand, two hundred eighty".