137102681 has 2 divisors, whose sum is σ = 137102682. Its totient is φ = 137102680.

The previous prime is 137102659. The next prime is 137102699. The reversal of 137102681 is 186201731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 108576400 + 28526281 = 10420^2 + 5341^2 .

It is a cyclic number.

It is not a de Polignac number, because 137102681 - 2⁶ = 137102617 is a prime.

It is a super-2 number, since 2×137102681² = 37594290274775522, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (137102621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68551340 + 68551341.

It is an arithmetic number, because the mean of its divisors is an integer number (68551341).

Almost surely, 2^137102681 is an apocalyptic number.

It is an amenable number.

137102681 is a deficient number, since it is larger than the sum of its proper divisors (1).

137102681 is an equidigital number, since it uses as much as digits as its factorization.

137102681 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 137102681 is about 11709.0854040783. The cubic root of 137102681 is about 515.6424332569.

The spelling of 137102681 in words is "one hundred thirty-seven million, one hundred two thousand, six hundred eighty-one".