142368 has 24 divisors (see below), whose sum is σ = 373968. Its totient is φ = 47424.

The previous prime is 142357. The next prime is 142369. The reversal of 142368 is 863241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

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 one of the 548 Lynch-Bell numbers.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 142368.

It is not an unprimeable number, because it can be changed into a prime (142369) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 646 + ... + 837.

It is an arithmetic number, because the mean of its divisors is an integer number (15582).

2¹⁴²³⁶⁸ is an apocalyptic number.

It is an amenable number.

142368 is an abundant number, since it is smaller than the sum of its proper divisors (231600).

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

142368 is a wasteful number, since it uses less digits than its factorization.

142368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1488 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 142368 is about 377.3168429848. The cubic root of 142368 is about 52.2160635227.

The spelling of 142368 in words is "one hundred forty-two thousand, three hundred sixty-eight".