142584 has 32 divisors (see below), whose sum is σ = 384720. Its totient is φ = 43776.

The previous prime is 142573. The next prime is 142589. The reversal of 142584 is 485241.

142584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 142584.

It is not an unprimeable number, because it can be changed into a prime (142589) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84 + ... + 540.

2¹⁴²⁵⁸⁴ 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 142584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192360).

142584 is an abundant number, since it is smaller than the sum of its proper divisors (242136).

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

142584 is a wasteful number, since it uses less digits than its factorization.

142584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 475 counting only the distinct ones).

The product of its digits is 1280, while the sum is 24.

The square root of 142584 is about 377.6029660900. The cubic root of 142584 is about 52.2424574936.

It can be divided in two parts, 142 and 584, that multiplied together give a palindrome (82928).

The spelling of 142584 in words is "one hundred forty-two thousand, five hundred eighty-four".