128946825 has 144 divisors (see below), whose sum is σ = 288870400. Its totient is φ = 53654400.

The previous prime is 128946823. The next prime is 128946859. The reversal of 128946825 is 528649821.

It is not a de Polignac number, because 128946825 - 2¹ = 128946823 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (128946823) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 927606 + ... + 927744.

Almost surely, 2^128946825 is an apocalyptic number.

128946825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

128946825 is an abundant number, since it is smaller than the sum of its proper divisors (159923575).

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

128946825 is a wasteful number, since it uses less digits than its factorization.

128946825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 204 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 128946825 is about 11355.4755514686. The cubic root of 128946825 is about 505.2079984929.

The spelling of 128946825 in words is "one hundred twenty-eight million, nine hundred forty-six thousand, eight hundred twenty-five".