68138 has 16 divisors (see below), whose sum is σ = 121344. Its totient is φ = 28080.

The previous prime is 68113. The next prime is 68141. The reversal of 68138 is 83186.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 356 + ... + 512.

It is an arithmetic number, because the mean of its divisors is an integer number (7584).

2⁶⁸¹³⁸ is an apocalyptic number.

68138 is a deficient number, since it is larger than the sum of its proper divisors (53206).

68138 is a wasteful number, since it uses less digits than its factorization.

68138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197.

The product of its digits is 1152, while the sum is 26.

The square root of 68138 is about 261.0325650182. The cubic root of 68138 is about 40.8441435583.

It can be divided in two parts, 681 and 38, that multiplied together give a triangular number (25878 = T₂₂₇).

The spelling of 68138 in words is "sixty-eight thousand, one hundred thirty-eight".