930150144 has 432 divisors, whose sum is σ = 3443731200. Its totient is φ = 239339520.

The previous prime is 930150119. The next prime is 930150167. The reversal of 930150144 is 441051039.

930150144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8692939 + ... + 8693045.

It is an arithmetic number, because the mean of its divisors is an integer number (7971600).

Almost surely, 2^930150144 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 930150144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1721865600).

930150144 is an abundant number, since it is smaller than the sum of its proper divisors (2513581056).

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

930150144 is a wasteful number, since it uses less digits than its factorization.

930150144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 930150144 is about 30498.3629724613. The cubic root of 930150144 is about 976.1525337163.

The spelling of 930150144 in words is "nine hundred thirty million, one hundred fifty thousand, one hundred forty-four".