10137 has 8 divisors (see below), whose sum is σ = 14080. Its totient is φ = 6480.

The previous prime is 10133. The next prime is 10139. The reversal of 10137 is 73101.

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

It is not a de Polignac number, because 10137 - 2² = 10133 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 10137.

It is not an unprimeable number, because it can be changed into a prime (10133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39 + ... + 147.

It is an arithmetic number, because the mean of its divisors is an integer number (1760).

2¹⁰¹³⁷ is an apocalyptic number.

It is an amenable number.

10137 is a deficient number, since it is larger than the sum of its proper divisors (3943).

10137 is a wasteful number, since it uses less digits than its factorization.

10137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143.

The product of its (nonzero) digits is 21, while the sum is 12.

The square root of 10137 is about 100.6826698097. The cubic root of 10137 is about 21.6422868445.

Adding to 10137 its reverse (73101), we get a palindrome (83238).

The spelling of 10137 in words is "ten thousand, one hundred thirty-seven".