137106121 has 2 divisors, whose sum is σ = 137106122. Its totient is φ = 137106120.

The previous prime is 137106077. The next prime is 137106157. The reversal of 137106121 is 121601731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81812025 + 55294096 = 9045^2 + 7436^2 .

It is a cyclic number.

It is not a de Polignac number, because 137106121 - 2¹¹ = 137104073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137106092 and 137106101.

It is not a weakly prime, because it can be changed into another prime (137106161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68553060 + 68553061.

It is an arithmetic number, because the mean of its divisors is an integer number (68553061).

Almost surely, 2^137106121 is an apocalyptic number.

It is an amenable number.

137106121 is a deficient number, since it is larger than the sum of its proper divisors (1).

137106121 is an equidigital number, since it uses as much as digits as its factorization.

137106121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 137106121 is about 11709.2322976359. The cubic root of 137106121 is about 515.6467458279.

Adding to 137106121 its reverse (121601731), we get a palindrome (258707852).

The spelling of 137106121 in words is "one hundred thirty-seven million, one hundred six thousand, one hundred twenty-one".