13137729 has 8 divisors (see below), whose sum is σ = 19109472. Its totient is φ = 7962240.

The previous prime is 13137727. The next prime is 13137743. The reversal of 13137729 is 92773131.

It is a happy number.

13137729 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 13137729 - 2¹ = 13137727 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 398113 = 13137729 / (1 + 3 + 1 + 3 + 7 + 7 + 2 + 9).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 13137729.

It is not an unprimeable number, because it can be changed into a prime (13137727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199024 + ... + 199089.

It is an arithmetic number, because the mean of its divisors is an integer number (2388684).

Almost surely, 2^13137729 is an apocalyptic number.

It is an amenable number.

13137729 is a deficient number, since it is larger than the sum of its proper divisors (5971743).

13137729 is a wasteful number, since it uses less digits than its factorization.

13137729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398127.

The product of its digits is 7938, while the sum is 33.

The square root of 13137729 is about 3624.6005297136. The cubic root of 13137729 is about 235.9609302843.

The spelling of 13137729 in words is "thirteen million, one hundred thirty-seven thousand, seven hundred twenty-nine".