68142 has 16 divisors (see below), whose sum is σ = 140112. Its totient is φ = 22080.

The previous prime is 68141. The next prime is 68147. The reversal of 68142 is 24186.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 68142.

It is not an unprimeable number, because it can be changed into a prime (68141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108 + ... + 384.

It is an arithmetic number, because the mean of its divisors is an integer number (8757).

2⁶⁸¹⁴² is an apocalyptic number.

68142 is an abundant number, since it is smaller than the sum of its proper divisors (71970).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70056).

68142 is a wasteful number, since it uses less digits than its factorization.

68142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323.

The product of its digits is 384, while the sum is 21.

The square root of 68142 is about 261.0402267851. The cubic root of 68142 is about 40.8449427862.

Subtracting from 68142 its sum of digits (21), we obtain a square (68121 = 261²).

Subtracting from 68142 its reverse (24186), we obtain a triangular number (43956 = T₂₉₆).

It can be divided in two parts, 68 and 142, that added together give a triangular number (210 = T₂₀).

The spelling of 68142 in words is "sixty-eight thousand, one hundred forty-two".