4515030144 has 192 divisors, whose sum is σ = 13432194360. Its totient is φ = 1454948352.

The previous prime is 4515030133. The next prime is 4515030151. The reversal of 4515030144 is 4410305154.

It is a happy number.

4515030144 is a `hidden beast` number, since 4 + 515 + 0 + 3 + 0 + 144 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3012692544 + 1502337600 = 54888^2 + 38760^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4456582 + ... + 4457594.

Almost surely, 2^4515030144 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 4515030144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6716097180).

4515030144 is an abundant number, since it is smaller than the sum of its proper divisors (8917164216).

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

4515030144 is a wasteful number, since it uses less digits than its factorization.

4515030144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 4515030144 is about 67193.9740155321. The cubic root of 4515030144 is about 1652.7996722547.

Adding to 4515030144 its reverse (4410305154), we get a palindrome (8925335298).

The spelling of 4515030144 in words is "four billion, five hundred fifteen million, thirty thousand, one hundred forty-four".