150144 has 64 divisors (see below), whose sum is σ = 440640. Its totient is φ = 45056.

The previous prime is 150131. The next prime is 150151. The reversal of 150144 is 441051.

It is a tau number, because it is divible by the number of its divisors (64).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 150144.

It is an unprimeable number.

150144 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6517 + ... + 6539.

It is an arithmetic number, because the mean of its divisors is an integer number (6885).

2¹⁵⁰¹⁴⁴ 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 150144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220320).

150144 is an abundant number, since it is smaller than the sum of its proper divisors (290496).

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

150144 is a wasteful number, since it uses less digits than its factorization.

150144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 150144 is about 387.4841932260. The cubic root of 150144 is about 53.1499255583.

Adding to 150144 its reverse (441051), we get a palindrome (591195).

The spelling of 150144 in words is "one hundred fifty thousand, one hundred forty-four".