218115144 has 96 divisors (see below), whose sum is σ = 639912000. Its totient is φ = 66718080.

The previous prime is 218115143. The next prime is 218115179. The reversal of 218115144 is 441511812.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (218115143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185679 + ... + 186849.

It is an arithmetic number, because the mean of its divisors is an integer number (6665750).

Almost surely, 2^218115144 is an apocalyptic number.

218115144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218115144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319956000).

218115144 is an abundant number, since it is smaller than the sum of its proper divisors (421796856).

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

218115144 is a wasteful number, since it uses less digits than its factorization.

218115144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395 (or 1388 counting only the distinct ones).

The product of its digits is 1280, while the sum is 27.

The square root of 218115144 is about 14768.7218133459. The cubic root of 218115144 is about 601.9521085657.

Adding to 218115144 its reverse (441511812), we get a palindrome (659626956).

The spelling of 218115144 in words is "two hundred eighteen million, one hundred fifteen thousand, one hundred forty-four".