150045984 has 72 divisors (see below), whose sum is σ = 465493392. Its totient is φ = 45467520.

The previous prime is 150045977. The next prime is 150045991. The reversal of 150045984 is 489540051.

It is an interprime number because it is at equal distance from previous prime (150045977) and next prime (150045991).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20514 + ... + 26849.

It is an arithmetic number, because the mean of its divisors is an integer number (6465186).

Almost surely, 2^150045984 is an apocalyptic number.

It is an amenable number.

150045984 is an abundant number, since it is smaller than the sum of its proper divisors (315447408).

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

150045984 is a wasteful number, since it uses less digits than its factorization.

150045984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47390 (or 47379 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 150045984 is about 12249.3258590014. The cubic root of 150045984 is about 531.3835738125.

The spelling of 150045984 in words is "one hundred fifty million, forty-five thousand, nine hundred eighty-four".