142992 has 40 divisors (see below), whose sum is σ = 411680. Its totient is φ = 47520.

The previous prime is 142981. The next prime is 142993. The reversal of 142992 is 299241.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 142992.

It is not an unprimeable number, because it can be changed into a prime (142993) by changing a digit.

142992 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 267 + ... + 597.

It is an arithmetic number, because the mean of its divisors is an integer number (10292).

2¹⁴²⁹⁹² is an apocalyptic number.

142992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205840).

142992 is an abundant number, since it is smaller than the sum of its proper divisors (268688).

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

142992 is a wasteful number, since it uses less digits than its factorization.

142992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 336 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 142992 is about 378.1428301581. The cubic root of 142992 is about 52.2922401345.

It can be divided in two parts, 1429 and 92, that added together give a square (1521 = 39²).

The spelling of 142992 in words is "one hundred forty-two thousand, nine hundred ninety-two".