218764024137 has 24 divisors (see below), whose sum is σ = 319272195528. Its totient is φ = 144330336000.

The previous prime is 218764024121. The next prime is 218764024181. The reversal of 218764024137 is 731420467812.

It can be written as a sum of positive squares in 4 ways, for example, as 107859039561 + 110904984576 = 328419^2 + 333024^2 .

It is not a de Polignac number, because 218764024137 - 2⁴ = 218764024121 is a prime.

It is a super-2 number, since 2×218764024137² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 218764024092 and 218764024101.

It is not an unprimeable number, because it can be changed into a prime (218764024637) 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, 1901187 + ... + 2012967.

It is an arithmetic number, because the mean of its divisors is an integer number (13303008147).

Almost surely, 2^218764024137 is an apocalyptic number.

It is an amenable number.

218764024137 is a deficient number, since it is larger than the sum of its proper divisors (100508171391).

218764024137 is a wasteful number, since it uses less digits than its factorization.

218764024137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114041 (or 114038 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 218764024137 in words is "two hundred eighteen billion, seven hundred sixty-four million, twenty-four thousand, one hundred thirty-seven".