128051856 has 135 divisors (see below), whose sum is σ = 383986057. Its totient is φ = 39832320.

The previous prime is 128051851. The next prime is 128051873. The reversal of 128051856 is 658150821.

The square root of 128051856 is 11316.

It is a perfect power (a square), and thus also a powerful number.

128051856 is a `hidden beast` number, since 12 + 80 + 518 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6170256 + 121881600 = 2484^2 + 11040^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 128051856.

It is not an unprimeable number, because it can be changed into a prime (128051851) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 3123196 + ... + 3123236.

Almost surely, 2^128051856 is an apocalyptic number.

128051856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

128051856 is the 11316-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128051856

128051856 is an abundant number, since it is smaller than the sum of its proper divisors (255934201).

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

128051856 is a wasteful number, since it uses less digits than its factorization.

128051856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The cubic root of 128051856 is about 504.0364675049.

Multiplying 128051856 by its sum of digits (36), we get a square (4609866816 = 67896²).

128051856 divided by its sum of digits (36) gives a square (3556996 = 1886²).

The spelling of 128051856 in words is "one hundred twenty-eight million, fifty-one thousand, eight hundred fifty-six".