128320200 has 180 divisors, whose sum is σ = 450738915. Its totient is φ = 33834240.

The previous prime is 128320189. The next prime is 128320207. The reversal of 128320200 is 2023821.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 12068676 + 116251524 = 3474^2 + 10782^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=8010.

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

It is not an unprimeable number, because it can be changed into a prime (128320207) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 1441756 + ... + 1441844.

Almost surely, 2^128320200 is an apocalyptic number.

128320200 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 128320200

128320200 is an abundant number, since it is smaller than the sum of its proper divisors (322418715).

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

128320200 is an equidigital number, since it uses as much as digits as its factorization.

128320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 128320200 is about 11327.8506346085. The cubic root of 128320200 is about 504.3883061953.

Multiplying 128320200 by its sum of digits (18), we get a square (2309763600 = 48060²).

128320200 divided by its sum of digits (18) gives a square (7128900 = 2670²).

The spelling of 128320200 in words is "one hundred twenty-eight million, three hundred twenty thousand, two hundred".