137018643193 has 2 divisors, whose sum is σ = 137018643194. Its totient is φ = 137018643192.

The previous prime is 137018643173. The next prime is 137018643197. The reversal of 137018643193 is 391346810731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 135220204729 + 1798438464 = 367723^2 + 42408^2 .

It is an emirp because it is prime and its reverse (391346810731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137018643193 - 2⁹ = 137018642681 is a prime.

It is not a weakly prime, because it can be changed into another prime (137018643197) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68509321596 + 68509321597.

It is an arithmetic number, because the mean of its divisors is an integer number (68509321597).

Almost surely, 2^137018643193 is an apocalyptic number.

It is an amenable number.

137018643193 is a deficient number, since it is larger than the sum of its proper divisors (1).

137018643193 is an equidigital number, since it uses as much as digits as its factorization.

137018643193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 326592, while the sum is 46.

The spelling of 137018643193 in words is "one hundred thirty-seven billion, eighteen million, six hundred forty-three thousand, one hundred ninety-three".