16137 has 12 divisors (see below), whose sum is σ = 25584. Its totient is φ = 9720.

The previous prime is 16127. The next prime is 16139. The reversal of 16137 is 73161.

It is not a de Polignac number, because 16137 - 2⁶ = 16073 is a prime.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 16137.

It is not an unprimeable number, because it can be changed into a prime (16139) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18 + ... + 180.

It is an arithmetic number, because the mean of its divisors is an integer number (2132).

2¹⁶¹³⁷ is an apocalyptic number.

It is an amenable number.

16137 is a deficient number, since it is larger than the sum of its proper divisors (9447).

16137 is a wasteful number, since it uses less digits than its factorization.

16137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 177 counting only the distinct ones).

The product of its digits is 126, while the sum is 18.

The square root of 16137 is about 127.0314921584. The cubic root of 16137 is about 25.2701371890.

Adding to 16137 its reverse (73161), we get a palindrome (89298).

It can be divided in two parts, 16 and 137, that added together give a triangular number (153 = T₁₇).

The spelling of 16137 in words is "sixteen thousand, one hundred thirty-seven".