128953125 has 84 divisors (see below), whose sum is σ = 268121568. Its totient is φ = 58500000.

The previous prime is 128953117. The next prime is 128953127. The reversal of 128953125 is 521359821.

It is not a de Polignac number, because 128953125 - 2³ = 128953117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 128953125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128953127) 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 83 ways as a sum of consecutive naturals, for example, 984310 + ... + 984440.

Almost surely, 2^128953125 is an apocalyptic number.

128953125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

128953125 is an abundant number, since it is smaller than the sum of its proper divisors (139168443).

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

128953125 is an frugal number, since it uses more digits than its factorization.

128953125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 146 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 128953125 is about 11355.7529472950. The cubic root of 128953125 is about 505.2162260667.

The spelling of 128953125 in words is "one hundred twenty-eight million, nine hundred fifty-three thousand, one hundred twenty-five".