137718101 has 2 divisors, whose sum is σ = 137718102. Its totient is φ = 137718100.

The previous prime is 137718079. The next prime is 137718103. The reversal of 137718101 is 101817731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93508900 + 44209201 = 9670^2 + 6649^2 .

It is an emirp because it is prime and its reverse (101817731) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-137718101 is a prime.

Together with 137718103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137718103) 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, 68859050 + 68859051.

It is an arithmetic number, because the mean of its divisors is an integer number (68859051).

Almost surely, 2^137718101 is an apocalyptic number.

It is an amenable number.

137718101 is a deficient number, since it is larger than the sum of its proper divisors (1).

137718101 is an equidigital number, since it uses as much as digits as its factorization.

137718101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1176, while the sum is 29.

The square root of 137718101 is about 11735.3355725348. The cubic root of 137718101 is about 516.4128121419.

The spelling of 137718101 in words is "one hundred thirty-seven million, seven hundred eighteen thousand, one hundred one".