288150 has 48 divisors (see below), whose sum is σ = 763344. Its totient is φ = 71680.

The previous prime is 288137. The next prime is 288179. The reversal of 288150 is 51882.

It is a self number, because there is not a number n which added to its sum of digits gives 288150.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2494 + ... + 2606.

It is an arithmetic number, because the mean of its divisors is an integer number (15903).

2²⁸⁸¹⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381672).

288150 is an abundant number, since it is smaller than the sum of its proper divisors (475194).

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

288150 is a wasteful number, since it uses less digits than its factorization.

288150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 288150 is about 536.7960506561. The cubic root of 288150 is about 66.0500080132.

The spelling of 288150 in words is "two hundred eighty-eight thousand, one hundred fifty".