137838300617 has 2 divisors, whose sum is σ = 137838300618. Its totient is φ = 137838300616.

The previous prime is 137838300577. The next prime is 137838300637. The reversal of 137838300617 is 716003838731.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93765176521 + 44073124096 = 306211^2 + 209936^2 .

It is an emirp because it is prime and its reverse (716003838731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137838300617 - 2¹² = 137838296521 is a prime.

It is not a weakly prime, because it can be changed into another prime (137838300637) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68919150308 + 68919150309.

It is an arithmetic number, because the mean of its divisors is an integer number (68919150309).

Almost surely, 2^137838300617 is an apocalyptic number.

It is an amenable number.

137838300617 is a deficient number, since it is larger than the sum of its proper divisors (1).

137838300617 is an equidigital number, since it uses as much as digits as its factorization.

137838300617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 508032, while the sum is 47.

The spelling of 137838300617 in words is "one hundred thirty-seven billion, eight hundred thirty-eight million, three hundred thousand, six hundred seventeen".