285144 has 24 divisors (see below), whose sum is σ = 719460. Its totient is φ = 94176.

The previous prime is 285139. The next prime is 285151. The reversal of 285144 is 441582.

It is a tau number, because it is divible by the number of its divisors (24).

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 285144.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2562 + ... + 2670.

2²⁸⁵¹⁴⁴ is an apocalyptic number.

285144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

285144 is an abundant number, since it is smaller than the sum of its proper divisors (434316).

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

285144 is a wasteful number, since it uses less digits than its factorization.

285144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 114 counting only the distinct ones).

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

The square root of 285144 is about 533.9887639267. The cubic root of 285144 is about 65.8195253136.

Multiplying 285144 by its sum of digits (24), we get a square (6843456 = 2616²).

285144 divided by its sum of digits (24) gives a square (11881 = 109²).

The spelling of 285144 in words is "two hundred eighty-five thousand, one hundred forty-four".