218045137 has 2 divisors, whose sum is σ = 218045138. Its totient is φ = 218045136.

The previous prime is 218045119. The next prime is 218045141. The reversal of 218045137 is 731540812.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 215384976 + 2660161 = 14676^2 + 1631^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-218045137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 218045099 and 218045108.

It is not a weakly prime, because it can be changed into another prime (218045167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 109022568 + 109022569.

It is an arithmetic number, because the mean of its divisors is an integer number (109022569).

Almost surely, 2^218045137 is an apocalyptic number.

It is an amenable number.

218045137 is a deficient number, since it is larger than the sum of its proper divisors (1).

218045137 is an equidigital number, since it uses as much as digits as its factorization.

218045137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 218045137 is about 14766.3515128145. The cubic root of 218045137 is about 601.8877001224.

Adding to 218045137 its reverse (731540812), we get a palindrome (949585949).

The spelling of 218045137 in words is "two hundred eighteen million, forty-five thousand, one hundred thirty-seven".