137741861697809 has 2 divisors, whose sum is σ = 137741861697810. Its totient is φ = 137741861697808.

The previous prime is 137741861697731. The next prime is 137741861697823. The reversal of 137741861697809 is 908796168147731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75552550257409 + 62189311440400 = 8692097^2 + 7886020^2 .

It is a cyclic number.

It is not a de Polignac number, because 137741861697809 - 2²⁸ = 137741593262353 is a prime.

It is a super-3 number, since 3×137741861697809³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 137741861697809.

It is not a weakly prime, because it can be changed into another prime (137741861697829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68870930848904 + 68870930848905.

It is an arithmetic number, because the mean of its divisors is an integer number (68870930848905).

Almost surely, 2^{137741861697809} is an apocalyptic number.

It is an amenable number.

137741861697809 is a deficient number, since it is larger than the sum of its proper divisors (1).

137741861697809 is an equidigital number, since it uses as much as digits as its factorization.

137741861697809 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 768144384, while the sum is 77.

The spelling of 137741861697809 in words is "one hundred thirty-seven trillion, seven hundred forty-one billion, eight hundred sixty-one million, six hundred ninety-seven thousand, eight hundred nine".