128051200 has 144 divisors (see below), whose sum is σ = 330564780. Its totient is φ = 49152000.

The previous prime is 128051141. The next prime is 128051201. The reversal of 128051200 is 2150821.

It can be written as a sum of positive squares in 6 ways, for example, as 451584 + 127599616 = 672^2 + 11296^2 .

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128051201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2099170 + ... + 2099230.

Almost surely, 2^128051200 is an apocalyptic number.

128051200 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 128051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165282390).

128051200 is an abundant number, since it is smaller than the sum of its proper divisors (202513580).

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

128051200 is an equidigital number, since it uses as much as digits as its factorization.

128051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 128051200 is about 11315.9710144556. The cubic root of 128051200 is about 504.0356067898.

The spelling of 128051200 in words is "one hundred twenty-eight million, fifty-one thousand, two hundred".