13165128 has 48 divisors (see below), whose sum is σ = 36101520. Its totient is φ = 4333536.

The previous prime is 13165121. The next prime is 13165153. The reversal of 13165128 is 82156131.

13165128 is a `hidden beast` number, since 1 + 3 + 1 + 651 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (13165121) 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, 4875 + ... + 7077.

It is an arithmetic number, because the mean of its divisors is an integer number (752115).

Almost surely, 2^13165128 is an apocalyptic number.

13165128 is a gapful number since it is divisible by the number (18) 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 13165128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18050760).

13165128 is an abundant number, since it is smaller than the sum of its proper divisors (22936392).

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

13165128 is a wasteful number, since it uses less digits than its factorization.

13165128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2298 (or 2291 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 13165128 is about 3628.3781500830. The cubic root of 13165128 is about 236.1248501512.

The spelling of 13165128 in words is "thirteen million, one hundred sixty-five thousand, one hundred twenty-eight".