150085144 has 64 divisors (see below), whose sum is σ = 315964800. Its totient is φ = 66259200.

The previous prime is 150085141. The next prime is 150085151. The reversal of 150085144 is 441580051.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150085141) 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, 711199 + ... + 711409.

It is an arithmetic number, because the mean of its divisors is an integer number (4936950).

Almost surely, 2^150085144 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 150085144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157982400).

150085144 is an abundant number, since it is smaller than the sum of its proper divisors (165879656).

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

150085144 is a wasteful number, since it uses less digits than its factorization.

150085144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

The square root of 150085144 is about 12250.9242100341. The cubic root of 150085144 is about 531.4297977993.

The spelling of 150085144 in words is "one hundred fifty million, eighty-five thousand, one hundred forty-four".