128768193 has 12 divisors (see below), whose sum is σ = 186174820. Its totient is φ = 85764096.

The previous prime is 128768161. The next prime is 128768197. The reversal of 128768193 is 391867821.

It can be written as a sum of positive squares in 2 ways, for example, as 44715969 + 84052224 = 6687^2 + 9168^2 .

It is not a de Polignac number, because 128768193 - 2⁵ = 128768161 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (128768197) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4173 + ... + 16581.

Almost surely, 2^128768193 is an apocalyptic number.

It is an amenable number.

128768193 is a deficient number, since it is larger than the sum of its proper divisors (57406627).

128768193 is a wasteful number, since it uses less digits than its factorization.

128768193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13568 (or 13565 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 128768193 is about 11347.6073689567. The cubic root of 128768193 is about 504.9745999054.

The spelling of 128768193 in words is "one hundred twenty-eight million, seven hundred sixty-eight thousand, one hundred ninety-three".