128753157120 has 352 divisors, whose sum is σ = 471510892800. Its totient is φ = 29374808064.

The previous prime is 128753157067. The next prime is 128753157133. The reversal of 128753157120 is 21751357821.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99885436 + ... + 99886724.

Almost surely, 2^128753157120 is an apocalyptic number.

128753157120 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 128753157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235755446400).

128753157120 is an abundant number, since it is smaller than the sum of its proper divisors (342757735680).

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

128753157120 is a wasteful number, since it uses less digits than its factorization.

128753157120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2253 (or 2235 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 42.

The spelling of 128753157120 in words is "one hundred twenty-eight billion, seven hundred fifty-three million, one hundred fifty-seven thousand, one hundred twenty".