150287144 has 64 divisors (see below), whose sum is σ = 330691200. Its totient is φ = 62705664.

The previous prime is 150287143. The next prime is 150287149. The reversal of 150287144 is 441782051.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 150287144.

It is not an unprimeable number, because it can be changed into a prime (150287143) 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, 396347 + ... + 396725.

It is an arithmetic number, because the mean of its divisors is an integer number (5167050).

Almost surely, 2^150287144 is an apocalyptic number.

150287144 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 150287144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165345600).

150287144 is an abundant number, since it is smaller than the sum of its proper divisors (180404056).

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

150287144 is a wasteful number, since it uses less digits than its factorization.

150287144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 150287144 is about 12259.1657138649. The cubic root of 150287144 is about 531.6681085162.

The spelling of 150287144 in words is "one hundred fifty million, two hundred eighty-seven thousand, one hundred forty-four".