218136 has 32 divisors (see below), whose sum is σ = 558000. Its totient is φ = 71040.

The previous prime is 218131. The next prime is 218137. The reversal of 218136 is 631812.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 218136.

It is not an unprimeable number, because it can be changed into a prime (218131) by changing a digit.

218136 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1390 + ... + 1538.

2²¹⁸¹³⁶ 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 218136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279000).

218136 is an abundant number, since it is smaller than the sum of its proper divisors (339864).

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

218136 is a wasteful number, since it uses less digits than its factorization.

218136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 215 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 218136 is about 467.0503184883. The cubic root of 218136 is about 60.1971294018.

Adding to 218136 its reverse (631812), we get a palindrome (849948).

The spelling of 218136 in words is "two hundred eighteen thousand, one hundred thirty-six".