13074128 has 40 divisors (see below), whose sum is σ = 27602400. Its totient is φ = 5975424.

The previous prime is 13074091. The next prime is 13074133. The reversal of 13074128 is 82147031.

It is a junction number, because it is equal to n+sod(n) for n = 13074097 and 13074106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8075 + ... + 9557.

It is an arithmetic number, because the mean of its divisors is an integer number (690060).

Almost surely, 2^13074128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13074128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13801200).

13074128 is an abundant number, since it is smaller than the sum of its proper divisors (14528272).

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

13074128 is a wasteful number, since it uses less digits than its factorization.

13074128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 13074128 is about 3615.8163670187. The cubic root of 13074128 is about 235.5795443839.

The spelling of 13074128 in words is "thirteen million, seventy-four thousand, one hundred twenty-eight".