5182272144 has 135 divisors (see below), whose sum is σ = 16890737097. Its totient is φ = 1478921472.

The previous prime is 5182272103. The next prime is 5182272223. The reversal of 5182272144 is 4412722815.

The square root of 5182272144 is 71988.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4802490000 + 379782144 = 69300^2 + 19488^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 5182272099 and 5182272108.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6046564 + ... + 6047420.

Almost surely, 2^5182272144 is an apocalyptic number.

5182272144 is the 71988-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5182272144

5182272144 is an abundant number, since it is smaller than the sum of its proper divisors (11708464953).

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

5182272144 is an equidigital number, since it uses as much as digits as its factorization.

5182272144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1742 (or 869 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The cubic root of 5182272144 is about 1730.5071790841.

Multiplying 5182272144 by its sum of digits (36), we get a square (186561797184 = 431928²).

5182272144 divided by its sum of digits (36) gives a square (143952004 = 11998²).

Adding to 5182272144 its reverse (4412722815), we get a palindrome (9594994959).

The spelling of 5182272144 in words is "five billion, one hundred eighty-two million, two hundred seventy-two thousand, one hundred forty-four".