123137 has 8 divisors (see below), whose sum is σ = 144000. Its totient is φ = 105252.

The previous prime is 123127. The next prime is 123143. The reversal of 123137 is 731321.

It is not a de Polignac number, because 123137 - 2⁴ = 123121 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 123137.

It is not an unprimeable number, because it can be changed into a prime (123127) 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, 164 + ... + 522.

It is an arithmetic number, because the mean of its divisors is an integer number (18000).

2¹²³¹³⁷ is an apocalyptic number.

It is an amenable number.

123137 is a deficient number, since it is larger than the sum of its proper divisors (20863).

123137 is an frugal number, since it uses more digits than its factorization.

123137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 366 counting only the distinct ones).

The product of its digits is 126, while the sum is 17.

The square root of 123137 is about 350.9088200658. The cubic root of 123137 is about 49.7503556282.

Adding to 123137 its reverse (731321), we get a palindrome (854458).

The spelling of 123137 in words is "one hundred twenty-three thousand, one hundred thirty-seven".