13829136 has 40 divisors (see below), whose sum is σ = 36601824. Its totient is φ = 4496640.

The previous prime is 13829129. The next prime is 13829149. The reversal of 13829136 is 63192831.

It is a junction number, because it is equal to n+sod(n) for n = 13829097 and 13829106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1546 + ... + 5481.

Almost surely, 2^13829136 is an apocalyptic number.

13829136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13829136 is an abundant number, since it is smaller than the sum of its proper divisors (22772688).

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

13829136 is a wasteful number, since it uses less digits than its factorization.

13829136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7079 (or 7073 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 13829136 is about 3718.7546302492. The cubic root of 13829136 is about 240.0297185421.

The spelling of 13829136 in words is "thirteen million, eight hundred twenty-nine thousand, one hundred thirty-six".