137107127 has 2 divisors, whose sum is σ = 137107128. Its totient is φ = 137107126.

The previous prime is 137107123. The next prime is 137107133. The reversal of 137107127 is 721701731.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 137107127 - 2² = 137107123 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137107127.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137107123) 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, 68553563 + 68553564.

It is an arithmetic number, because the mean of its divisors is an integer number (68553564).

Almost surely, 2^137107127 is an apocalyptic number.

137107127 is a deficient number, since it is larger than the sum of its proper divisors (1).

137107127 is an equidigital number, since it uses as much as digits as its factorization.

137107127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2058, while the sum is 29.

The square root of 137107127 is about 11709.2752551129. The cubic root of 137107127 is about 515.6480069906.

Adding to 137107127 its reverse (721701731), we get a palindrome (858808858).

The spelling of 137107127 in words is "one hundred thirty-seven million, one hundred seven thousand, one hundred twenty-seven".