137517149101 has 2 divisors, whose sum is σ = 137517149102. Its totient is φ = 137517149100.

The previous prime is 137517149039. The next prime is 137517149117. The reversal of 137517149101 is 101941715731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 132952119876 + 4565029225 = 364626^2 + 67565^2 .

It is a cyclic number.

It is not a de Polignac number, because 137517149101 - 2²⁵ = 137483594669 is a prime.

It is a super-3 number, since 3×137517149101³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137517141101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68758574550 + 68758574551.

It is an arithmetic number, because the mean of its divisors is an integer number (68758574551).

Almost surely, 2^137517149101 is an apocalyptic number.

It is an amenable number.

137517149101 is a deficient number, since it is larger than the sum of its proper divisors (1).

137517149101 is an equidigital number, since it uses as much as digits as its factorization.

137517149101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26460, while the sum is 40.

The spelling of 137517149101 in words is "one hundred thirty-seven billion, five hundred seventeen million, one hundred forty-nine thousand, one hundred one".