150084144 has 160 divisors (see below), whose sum is σ = 508538880. Its totient is φ = 41472000.

The previous prime is 150084139. The next prime is 150084157. The reversal of 150084144 is 441480051.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92944 + ... + 94544.

It is an arithmetic number, because the mean of its divisors is an integer number (3178368).

Almost surely, 2^150084144 is an apocalyptic number.

150084144 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 150084144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254269440).

150084144 is an abundant number, since it is smaller than the sum of its proper divisors (358454736).

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

150084144 is a wasteful number, since it uses less digits than its factorization.

150084144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 150084144 is about 12250.8833967188. The cubic root of 150084144 is about 531.4286175115.

The spelling of 150084144 in words is "one hundred fifty million, eighty-four thousand, one hundred forty-four".