68137 has 4 divisors (see below), whose sum is σ = 69316. Its totient is φ = 66960.

The previous prime is 68113. The next prime is 68141. The reversal of 68137 is 73186.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 2601 + 65536 = 51^2 + 256^2 .

It is a cyclic number.

It is not a de Polignac number, because 68137 - 2¹¹ = 66089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (68147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 498 + ... + 619.

It is an arithmetic number, because the mean of its divisors is an integer number (17329).

2⁶⁸¹³⁷ is an apocalyptic number.

It is an amenable number.

68137 is a deficient number, since it is larger than the sum of its proper divisors (1179).

68137 is a wasteful number, since it uses less digits than its factorization.

68137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178.

The product of its digits is 1008, while the sum is 25.

The square root of 68137 is about 261.0306495414. The cubic root of 68137 is about 40.8439437465.

It can be divided in two parts, 68 and 137, that multiplied together give a triangular number (9316 = T₁₃₆).

The spelling of 68137 in words is "sixty-eight thousand, one hundred thirty-seven".