142884 has 63 divisors (see below), whose sum is σ = 436107. Its totient is φ = 40824.

The previous prime is 142873. The next prime is 142897. The reversal of 142884 is 488241.

142884 = T₃₇₇ + T₃₇₈.

142884 = 1³ + 2³ + ... + 27³.

The square root of 142884 is 378.

It is a perfect power (a square), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (63).

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 142884.

It is an unprimeable 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 20 ways as a sum of consecutive naturals, for example, 20409 + ... + 20415.

142884 is a Friedman number, since it can be written as (42*(8+1))^(8/4), using all its digits and the basic arithmetic operations.

2¹⁴²⁸⁸⁴ is an apocalyptic number.

142884 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

142884 is the 378-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142884

142884 is an abundant number, since it is smaller than the sum of its proper divisors (293223).

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

142884 is an equidigital number, since it uses as much as digits as its factorization.

142884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36 (or 12 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The cubic root of 142884 is about 52.2790716021.

The spelling of 142884 in words is "one hundred forty-two thousand, eight hundred eighty-four".