13729104 has 60 divisors (see below), whose sum is σ = 39023296. Its totient is φ = 4504896.

The previous prime is 13729099. The next prime is 13729117. The reversal of 13729104 is 40192731.

13729104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8937 + ... + 10359.

Almost surely, 2^13729104 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 13729104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19511648).

13729104 is an abundant number, since it is smaller than the sum of its proper divisors (25294192).

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

13729104 is a wasteful number, since it uses less digits than its factorization.

13729104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 13729104 is about 3705.2805561792. The cubic root of 13729104 is about 239.4495719189.

It can be divided in two parts, 137 and 29104, that added together give a square (29241 = 171²).

The spelling of 13729104 in words is "thirteen million, seven hundred twenty-nine thousand, one hundred four".