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13137 = 329151

13137 has 8 divisors (see below), whose sum is σ = 18240. Its totient is φ = 8400.

The previous prime is 13127. The next prime is 13147. The reversal of 13137 is 73131.

Adding to 13137 its reverse (73131), we get a palindrome (86268).

13137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13127) and next prime (13147).

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

It is not a de Polignac number, because 13137 - 24 = 13121 is a prime.

It is a nialpdrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 13137.

It is not an unprimeable number, because it can be changed into a prime (13127) by changing a digit.

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, 12 + ... + 162.

It is an arithmetic number, because the mean of its divisors is an integer number (2280).

213137 is an apocalyptic number.

It is an amenable number.

13137 is a deficient number, since it is larger than the sum of its proper divisors (5103).

13137 is a wasteful number, since it uses less digits than its factorization.

13137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183.

The product of its digits is 63, while the sum is 15.

The square root of 13137 is about 114.6167527022. The cubic root of 13137 is about 23.5956565788.

The spelling of 13137 in words is "thirteen thousand, one hundred thirty-seven".

Divisors: 1 3 29 87 151 453 4379 13137