128755200 has 240 divisors, whose sum is σ = 487111680. Its totient is φ = 29368320.

The previous prime is 128755199. The next prime is 128755217. The reversal of 128755200 is 2557821.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 268561 + ... + 269039.

It is an arithmetic number, because the mean of its divisors is an integer number (2029632).

Almost surely, 2^128755200 is an apocalyptic number.

128755200 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 128755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243555840).

128755200 is an abundant number, since it is smaller than the sum of its proper divisors (358356480).

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

128755200 is an equidigital number, since it uses as much as digits as its factorization.

128755200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 128755200 is about 11347.0348549742. The cubic root of 128755200 is about 504.9576149768.

The spelling of 128755200 in words is "one hundred twenty-eight million, seven hundred fifty-five thousand, two hundred".