128042308900 has 81 divisors (see below), whose sum is σ = 305501275443. Its totient is φ = 46546526400.

The previous prime is 128042308897. The next prime is 128042308909. The reversal of 128042308900 is 9803240821.

The square root of 128042308900 is 357830.

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

It can be written as a sum of positive squares in 4 ways, for example, as 37677139236 + 90365169664 = 194106^2 + 300608^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 128042308900.

It is not an unprimeable number, because it can be changed into a prime (128042308909) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 39359674 + ... + 39362926.

Almost surely, 2^128042308900 is an apocalyptic number.

128042308900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

128042308900 is the 357830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128042308900

128042308900 is an abundant number, since it is smaller than the sum of its proper divisors (177458966543).

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

128042308900 is an equidigital number, since it uses as much as digits as its factorization.

128042308900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6542 (or 3271 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The spelling of 128042308900 in words is "one hundred twenty-eight billion, forty-two million, three hundred eight thousand, nine hundred".