128964129 has 48 divisors (see below), whose sum is σ = 208143936. Its totient is φ = 70761600.

The previous prime is 128964109. The next prime is 128964149. The reversal of 128964129 is 921469821.

It is an interprime number because it is at equal distance from previous prime (128964109) and next prime (128964149).

It is not a de Polignac number, because 128964129 - 2⁹ = 128963617 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (128964109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 712419 + ... + 712599.

It is an arithmetic number, because the mean of its divisors is an integer number (4336332).

Almost surely, 2^128964129 is an apocalyptic number.

It is an amenable number.

128964129 is a deficient number, since it is larger than the sum of its proper divisors (79179807).

128964129 is a wasteful number, since it uses less digits than its factorization.

128964129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 359 counting only the distinct ones).

The product of its digits is 62208, while the sum is 42.

The square root of 128964129 is about 11356.2374490850. The cubic root of 128964129 is about 505.2305962529.

The spelling of 128964129 in words is "one hundred twenty-eight million, nine hundred sixty-four thousand, one hundred twenty-nine".