268137 has 8 divisors (see below), whose sum is σ = 397280. Its totient is φ = 178740.

The previous prime is 268133. The next prime is 268153. The reversal of 268137 is 731862.

It is not a de Polignac number, because 268137 - 2² = 268133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 9931 = 268137 / (2 + 6 + 8 + 1 + 3 + 7).

It is an Ulam number.

It is a Duffinian number.

268137 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 268137.

It is not an unprimeable number, because it can be changed into a prime (268133) 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, 4939 + ... + 4992.

It is an arithmetic number, because the mean of its divisors is an integer number (49660).

2²⁶⁸¹³⁷ is an apocalyptic number.

268137 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

268137 is a deficient number, since it is larger than the sum of its proper divisors (129143).

268137 is an equidigital number, since it uses as much as digits as its factorization.

268137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9940 (or 9934 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 268137 is about 517.8194666097. The cubic root of 268137 is about 64.4840414818.

Adding to 268137 its reverse (731862), we get a palindrome (999999).

The spelling of 268137 in words is "two hundred sixty-eight thousand, one hundred thirty-seven".