137410121 has 2 divisors, whose sum is σ = 137410122. Its totient is φ = 137410120.

The previous prime is 137410081. The next prime is 137410153. The reversal of 137410121 is 121014731.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89038096 + 48372025 = 9436^2 + 6955^2 .

It is a cyclic number.

It is not a de Polignac number, because 137410121 - 2⁶ = 137410057 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 137410093 and 137410102.

It is not a weakly prime, because it can be changed into another prime (137410171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68705060 + 68705061.

It is an arithmetic number, because the mean of its divisors is an integer number (68705061).

Almost surely, 2^137410121 is an apocalyptic number.

It is an amenable number.

137410121 is a deficient number, since it is larger than the sum of its proper divisors (1).

137410121 is an equidigital number, since it uses as much as digits as its factorization.

137410121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 137410121 is about 11722.2063196311. The cubic root of 137410121 is about 516.0275722402.

Adding to 137410121 its reverse (121014731), we get a palindrome (258424852).

The spelling of 137410121 in words is "one hundred thirty-seven million, four hundred ten thousand, one hundred twenty-one".