128539900 has 72 divisors (see below), whose sum is σ = 288731520. Its totient is φ = 49640640.

The previous prime is 128539897. The next prime is 128539909. The reversal of 128539900 is 9935821.

It is a self number, because there is not a number n which added to its sum of digits gives 128539900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128539909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 718011 + ... + 718189.

It is an arithmetic number, because the mean of its divisors is an integer number (4010160).

Almost surely, 2^128539900 is an apocalyptic number.

128539900 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 128539900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144365760).

128539900 is an abundant number, since it is smaller than the sum of its proper divisors (160191620).

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

128539900 is a wasteful number, since it uses less digits than its factorization.

128539900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 37.

The square root of 128539900 is about 11337.5438257146. The cubic root of 128539900 is about 504.6760003866.

The spelling of 128539900 in words is "one hundred twenty-eight million, five hundred thirty-nine thousand, nine hundred".