142824 has 32 divisors (see below), whose sum is σ = 390240. Its totient is φ = 43200.

The previous prime is 142811. The next prime is 142837. The reversal of 142824 is 428241.

142824 = T₇ + T₈ + ... + T₉₄.

142824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (142811) and next prime (142837).

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 142824.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 142824.

It is an unprimeable number.

142824 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, 7 + ... + 534.

It is an arithmetic number, because the mean of its divisors is an integer number (12195).

2¹⁴²⁸²⁴ 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 142824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195120).

142824 is an abundant number, since it is smaller than the sum of its proper divisors (247416).

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

142824 is a wasteful number, since it uses less digits than its factorization.

142824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 557 counting only the distinct ones).

The product of its digits is 512, while the sum is 21.

The square root of 142824 is about 377.9206265871. The cubic root of 142824 is about 52.2717528833.

Adding to 142824 its sum of digits (21), we get a triangular number (142845 = T₅₃₄).

The spelling of 142824 in words is "one hundred forty-two thousand, eight hundred twenty-four".