150004864 has 32 divisors (see below), whose sum is σ = 300553200. Its totient is φ = 74572032.

The previous prime is 150004861. The next prime is 150004909. The reversal of 150004864 is 468400051.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (150004861) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19639 + ... + 26185.

Almost surely, 2^150004864 is an apocalyptic number.

150004864 is the 6547-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150004864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150276600).

150004864 is an abundant number, since it is smaller than the sum of its proper divisors (150548336).

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

150004864 is an equidigital number, since it uses as much as digits as its factorization.

150004864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6740 (or 6728 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 150004864 is about 12247.6472842746. The cubic root of 150004864 is about 531.3350276084.

The spelling of 150004864 in words is "one hundred fifty million, four thousand, eight hundred sixty-four".