128085252100 has 81 divisors (see below), whose sum is σ = 301079390493. Its totient is φ = 47275837440.

The previous prime is 128085252077. The next prime is 128085252131. The reversal of 128085252100 is 1252580821.

It is a happy number.

The square root of 128085252100 is 357890.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 65928778756 + 62156473344 = 256766^2 + 249312^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 46524324 + ... + 46527076.

Almost surely, 2^128085252100 is an apocalyptic number.

128085252100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

128085252100 is the 357890-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128085252100

128085252100 is an abundant number, since it is smaller than the sum of its proper divisors (172994138393).

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

128085252100 is an equidigital number, since it uses as much as digits as its factorization.

128085252100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5546 (or 2773 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 34.

The spelling of 128085252100 in words is "one hundred twenty-eight billion, eighty-five million, two hundred fifty-two thousand, one hundred".