268142 has 16 divisors (see below), whose sum is σ = 466560. Its totient is φ = 113208.

The previous prime is 268133. The next prime is 268153. The reversal of 268142 is 241862.

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 268142.

It is an unprimeable number.

268142 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1409 + ... + 1587.

It is an arithmetic number, because the mean of its divisors is an integer number (29160).

2²⁶⁸¹⁴² is an apocalyptic number.

268142 is a deficient number, since it is larger than the sum of its proper divisors (198418).

268142 is a wasteful number, since it uses less digits than its factorization.

268142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295.

The product of its digits is 768, while the sum is 23.

The square root of 268142 is about 517.8242945247. The cubic root of 268142 is about 64.4844422946.

It can be divided in two parts, 26814 and 2, that multiplied together give a triangular number (53628 = T₃₂₇).

The spelling of 268142 in words is "two hundred sixty-eight thousand, one hundred forty-two".