150288 has 40 divisors (see below), whose sum is σ = 404736. Its totient is φ = 48000.

The previous prime is 150287. The next prime is 150299. The reversal of 150288 is 882051.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 150288.

It is not an unprimeable number, because it can be changed into a prime (150287) 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, 1438 + ... + 1538.

2¹⁵⁰²⁸⁸ 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 150288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202368).

150288 is an abundant number, since it is smaller than the sum of its proper divisors (254448).

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

150288 is a wasteful number, since it uses less digits than its factorization.

150288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 137 counting only the distinct ones).

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

The square root of 150288 is about 387.6699627260. The cubic root of 150288 is about 53.1669117933.

The spelling of 150288 in words is "one hundred fifty thousand, two hundred eighty-eight".