142968 has 64 divisors (see below), whose sum is σ = 437760. Its totient is φ = 38016.

The previous prime is 142963. The next prime is 142969. The reversal of 142968 is 869241.

142968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (3456) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3846 + ... + 3882.

It is an arithmetic number, because the mean of its divisors is an integer number (6840).

2¹⁴²⁹⁶⁸ 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 142968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218880).

142968 is an abundant number, since it is smaller than the sum of its proper divisors (294792).

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

142968 is a wasteful number, since it uses less digits than its factorization.

142968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 72 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 142968 is about 378.1110947856. Note that the first 3 decimals coincide. The cubic root of 142968 is about 52.2893143671.

The spelling of 142968 in words is "one hundred forty-two thousand, nine hundred sixty-eight".