137758681 has 2 divisors, whose sum is σ = 137758682. Its totient is φ = 137758680.

The previous prime is 137758657. The next prime is 137758693. The reversal of 137758681 is 186857731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96040000 + 41718681 = 9800^2 + 6459^2 .

It is an emirp because it is prime and its reverse (186857731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137758681 - 2⁷ = 137758553 is a prime.

It is a super-2 number, since 2×137758681² = 37954908381719522, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (137758601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68879340 + 68879341.

It is an arithmetic number, because the mean of its divisors is an integer number (68879341).

Almost surely, 2^137758681 is an apocalyptic number.

It is an amenable number.

137758681 is a deficient number, since it is larger than the sum of its proper divisors (1).

137758681 is an equidigital number, since it uses as much as digits as its factorization.

137758681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 282240, while the sum is 46.

The square root of 137758681 is about 11737.0644115128. The cubic root of 137758681 is about 516.4635292077.

The spelling of 137758681 in words is "one hundred thirty-seven million, seven hundred fifty-eight thousand, six hundred eighty-one".