286144 has 28 divisors (see below), whose sum is σ = 603504. Its totient is φ = 134144.

The previous prime is 286129. The next prime is 286163. The reversal of 286144 is 441682.

It is a congruent number.

It is an unprimeable number.

286144 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 3 ways as a sum of consecutive naturals, for example, 957 + ... + 1219.

2²⁸⁶¹⁴⁴ 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 286144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301752).

286144 is an abundant number, since it is smaller than the sum of its proper divisors (317360).

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

286144 is a wasteful number, since it uses less digits than its factorization.

286144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 282 counting only the distinct ones).

The product of its digits is 1536, while the sum is 25.

The square root of 286144 is about 534.9242937089. The cubic root of 286144 is about 65.8963785665.

The spelling of 286144 in words is "two hundred eighty-six thousand, one hundred forty-four".