128052000 has 144 divisors (see below), whose sum is σ = 454584312. Its totient is φ = 34137600.

The previous prime is 128051999. The next prime is 128052011. The reversal of 128052000 is 250821.

It can be written as a sum of positive squares in 4 ways, for example, as 15776784 + 112275216 = 3972^2 + 10596^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 34222 + ... + 37778.

Almost surely, 2^128052000 is an apocalyptic number.

128052000 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 128052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227292156).

128052000 is an abundant number, since it is smaller than the sum of its proper divisors (326532312).

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

128052000 is a wasteful number, since it uses less digits than its factorization.

128052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3588 (or 3567 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 128052000 is about 11316.0063626705. The cubic root of 128052000 is about 504.0366564420.

The spelling of 128052000 in words is "one hundred twenty-eight million, fifty-two thousand".