128520200 has 48 divisors (see below), whose sum is σ = 300786180. Its totient is φ = 51068160.

The previous prime is 128520181. The next prime is 128520233. The reversal of 128520200 is 2025821.

It can be written as a sum of positive squares in 6 ways, for example, as 28879876 + 99640324 = 5374^2 + 9982^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29354 + ... + 33446.

Almost surely, 2^128520200 is an apocalyptic number.

128520200 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 128520200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150393090).

128520200 is an abundant number, since it is smaller than the sum of its proper divisors (172265980).

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

128520200 is a wasteful number, since it uses less digits than its factorization.

128520200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4266 (or 4257 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 128520200 is about 11336.6749975467. The cubic root of 128520200 is about 504.6502168875.

It can be divided in two parts, 128 and 520200, that multiplied together give a square (66585600 = 8160²).

The spelling of 128520200 in words is "one hundred twenty-eight million, five hundred twenty thousand, two hundred".