128102400 has 234 divisors, whose sum is σ = 462136220. Its totient is φ = 33914880.

The previous prime is 128102383. The next prime is 128102407. The reversal of 128102400 is 4201821.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (128102407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 921531 + ... + 921669.

Almost surely, 2^128102400 is an apocalyptic number.

128102400 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 128102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231068110).

128102400 is an abundant number, since it is smaller than the sum of its proper divisors (334033820).

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

128102400 is a wasteful number, since it uses less digits than its factorization.

128102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 128102400 is about 11318.2330776495. The cubic root of 128102400 is about 504.1027757148.

The spelling of 128102400 in words is "one hundred twenty-eight million, one hundred two thousand, four hundred".