128114400 has 72 divisors (see below), whose sum is σ = 417020184. Its totient is φ = 34163200.

The previous prime is 128114377. The next prime is 128114443. The reversal of 128114400 is 4411821.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24291 + ... + 29090.

It is an arithmetic number, because the mean of its divisors is an integer number (5791947).

Almost surely, 2^128114400 is an apocalyptic number.

128114400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128114400 is an abundant number, since it is smaller than the sum of its proper divisors (288905784).

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

128114400 is a wasteful number, since it uses less digits than its factorization.

128114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53404 (or 53391 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 128114400 is about 11318.7631833165. The cubic root of 128114400 is about 504.1185158425.

The spelling of 128114400 in words is "one hundred twenty-eight million, one hundred fourteen thousand, four hundred".