150000144 has 80 divisors (see below), whose sum is σ = 448542720. Its totient is φ = 42307200.

The previous prime is 150000143. The next prime is 150000157. The reversal of 150000144 is 441000051.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150000143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23719 + ... + 29369.

It is an arithmetic number, because the mean of its divisors is an integer number (5606784).

Almost surely, 2^150000144 is an apocalyptic number.

150000144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150000144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224271360).

150000144 is an abundant number, since it is smaller than the sum of its proper divisors (298542576).

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

150000144 is a wasteful number, since it uses less digits than its factorization.

150000144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5748 (or 5742 counting only the distinct ones).

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

The square root of 150000144 is about 12247.4545926899. The cubic root of 150000144 is about 531.3294546166.

Adding to 150000144 its reverse (441000051), we get a palindrome (591000195).

The spelling of 150000144 in words is "one hundred fifty million, one hundred forty-four", and thus it is an aban number.