128255400 has 576 divisors, whose sum is σ = 568713600. Its totient is φ = 26127360.

The previous prime is 128255399. The next prime is 128255417. The reversal of 128255400 is 4552821.

128255400 = 6³ + 7³ + ... + 150³.

It is a happy number.

128255400 is a `hidden beast` number, since 1 + 2 + 8 + 255 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4422586 + ... + 4422614.

It is an arithmetic number, because the mean of its divisors is an integer number (987350).

Almost surely, 2^128255400 is an apocalyptic number.

128255400 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 128255400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284356800).

128255400 is an abundant number, since it is smaller than the sum of its proper divisors (440458200).

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

128255400 is a wasteful number, since it uses less digits than its factorization.

128255400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 128255400 is about 11324.9900662208. The cubic root of 128255400 is about 504.3033887635.

It can be divided in two parts, 12825 and 5400, that added together give a square (18225 = 135²).

The spelling of 128255400 in words is "one hundred twenty-eight million, two hundred fifty-five thousand, four hundred".