150124960 has 96 divisors (see below), whose sum is σ = 380071440. Its totient is φ = 55836672.

The previous prime is 150124939. The next prime is 150124963. The reversal of 150124960 is 69421051.

It can be written as a sum of positive squares in 8 ways, for example, as 55413136 + 94711824 = 7444^2 + 9732^2 .

It is not an unprimeable number, because it can be changed into a prime (150124963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263556 + ... + 264124.

Almost surely, 2^150124960 is an apocalyptic number.

150124960 is a gapful number since it is divisible by the number (10) 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 150124960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190035720).

150124960 is an abundant number, since it is smaller than the sum of its proper divisors (229946480).

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

150124960 is a wasteful number, since it uses less digits than its factorization.

150124960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 150124960 is about 12252.5491225296. The cubic root of 150124960 is about 531.4767878775.

The spelling of 150124960 in words is "one hundred fifty million, one hundred twenty-four thousand, nine hundred sixty".