330150144 has 72 divisors (see below), whose sum is σ = 895370112. Its totient is φ = 107960320.

The previous prime is 330150127. The next prime is 330150151. The reversal of 330150144 is 441051033.

It is a self number, because there is not a number n which added to its sum of digits gives 330150144.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36649 + ... + 44759.

It is an arithmetic number, because the mean of its divisors is an integer number (12435696).

Almost surely, 2^330150144 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 330150144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447685056).

330150144 is an abundant number, since it is smaller than the sum of its proper divisors (565219968).

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

330150144 is an equidigital number, since it uses as much as digits as its factorization.

330150144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8183 (or 8169 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 330150144 is about 18170.0342322187. The cubic root of 330150144 is about 691.1471110080.

The spelling of 330150144 in words is "three hundred thirty million, one hundred fifty thousand, one hundred forty-four".