128756100 has 108 divisors (see below), whose sum is σ = 409595312. Its totient is φ = 31204800.

The previous prime is 128756099. The next prime is 128756123. The reversal of 128756100 is 1657821.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34527 + ... + 38073.

Almost surely, 2^128756100 is an apocalyptic number.

128756100 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 128756100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204797656).

128756100 is an abundant number, since it is smaller than the sum of its proper divisors (280839212).

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

128756100 is a wasteful number, since it uses less digits than its factorization.

128756100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3586 (or 3568 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 128756100 is about 11347.0745128425. The cubic root of 128756100 is about 504.9587915268.

The spelling of 128756100 in words is "one hundred twenty-eight million, seven hundred fifty-six thousand, one hundred".