150288384 has 96 divisors (see below), whose sum is σ = 408255120. Its totient is φ = 49152000.

The previous prime is 150288379. The next prime is 150288389. The reversal of 150288384 is 483882051.

It is an interprime number because it is at equal distance from previous prime (150288379) and next prime (150288389).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150288389) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 374584 + ... + 374984.

Almost surely, 2^150288384 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 150288384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204127560).

150288384 is an abundant number, since it is smaller than the sum of its proper divisors (257966736).

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

150288384 is an equidigital number, since it uses as much as digits as its factorization.

150288384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 150288384 is about 12259.2162881646. The cubic root of 150288384 is about 531.6695707540.

The spelling of 150288384 in words is "one hundred fifty million, two hundred eighty-eight thousand, three hundred eighty-four".