128199456 has 384 divisors, whose sum is σ = 487710720. Its totient is φ = 31795200.

The previous prime is 128199433. The next prime is 128199481. The reversal of 128199456 is 654991821.

128199456 is a `hidden beast` number, since 1 + 2 + 8 + 199 + 456 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2727625 + ... + 2727671.

It is an arithmetic number, because the mean of its divisors is an integer number (1270080).

Almost surely, 2^128199456 is an apocalyptic number.

128199456 is a gapful number since it is divisible by the number (16) 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 128199456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243855360).

128199456 is an abundant number, since it is smaller than the sum of its proper divisors (359511264).

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

128199456 is a wasteful number, since it uses less digits than its factorization.

128199456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 111 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 128199456 is about 11322.5198608790. The cubic root of 128199456 is about 504.2300537048.

The spelling of 128199456 in words is "one hundred twenty-eight million, one hundred ninety-nine thousand, four hundred fifty-six".