506148144 has 80 divisors (see below), whose sum is σ = 1386756480. Its totient is φ = 158630400.

The previous prime is 506148133. The next prime is 506148151. The reversal of 506148144 is 441841605.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122919 + ... + 126969.

It is an arithmetic number, because the mean of its divisors is an integer number (17334456).

Almost surely, 2^506148144 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 506148144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693378240).

506148144 is an abundant number, since it is smaller than the sum of its proper divisors (880608336).

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

506148144 is a wasteful number, since it uses less digits than its factorization.

506148144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4218 (or 4212 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 506148144 is about 22497.7364194712. The cubic root of 506148144 is about 796.9404723630.

Adding to 506148144 its reverse (441841605), we get a palindrome (947989749).

The spelling of 506148144 in words is "five hundred six million, one hundred forty-eight thousand, one hundred forty-four".