123135137 has 2 divisors, whose sum is σ = 123135138. Its totient is φ = 123135136.

The previous prime is 123135121. The next prime is 123135179. The reversal of 123135137 is 731531321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61606801 + 61528336 = 7849^2 + 7844^2 .

It is a cyclic number.

It is not a de Polignac number, because 123135137 - 2⁴ = 123135121 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (123135037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61567568 + 61567569.

It is an arithmetic number, because the mean of its divisors is an integer number (61567569).

Almost surely, 2^123135137 is an apocalyptic number.

It is an amenable number.

123135137 is a deficient number, since it is larger than the sum of its proper divisors (1).

123135137 is an equidigital number, since it uses as much as digits as its factorization.

123135137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1890, while the sum is 26.

The square root of 123135137 is about 11096.6272803947. The cubic root of 123135137 is about 497.5010472777.

Adding to 123135137 its reverse (731531321), we get a palindrome (854666458).

The spelling of 123135137 in words is "one hundred twenty-three million, one hundred thirty-five thousand, one hundred thirty-seven".