68136 has 32 divisors (see below), whose sum is σ = 181440. Its totient is φ = 21248.

The previous prime is 68113. The next prime is 68141. The reversal of 68136 is 63186.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

68136 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 325 + ... + 491.

It is an arithmetic number, because the mean of its divisors is an integer number (5670).

2⁶⁸¹³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90720).

68136 is an abundant number, since it is smaller than the sum of its proper divisors (113304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

68136 is a wasteful number, since it uses less digits than its factorization.

68136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 189 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 68136 is about 261.0287340505. The cubic root of 68136 is about 40.8437439326.

Subtracting from 68136 its reverse (63186), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 681 and 36, that added together give a palindrome (717).

The spelling of 68136 in words is "sixty-eight thousand, one hundred thirty-six".