123136249 has 2 divisors, whose sum is σ = 123136250. Its totient is φ = 123136248.

The previous prime is 123136187. The next prime is 123136267. The reversal of 123136249 is 942631321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120297024 + 2839225 = 10968^2 + 1685^2 .

It is a cyclic number.

It is not a de Polignac number, because 123136249 - 2²³ = 114747641 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 123136249.

It is not a weakly prime, because it can be changed into another prime (123131249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61568124 + 61568125.

It is an arithmetic number, because the mean of its divisors is an integer number (61568125).

Almost surely, 2^123136249 is an apocalyptic number.

It is an amenable number.

123136249 is a deficient number, since it is larger than the sum of its proper divisors (1).

123136249 is an equidigital number, since it uses as much as digits as its factorization.

123136249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7776, while the sum is 31.

The square root of 123136249 is about 11096.6773855961. The cubic root of 123136249 is about 497.5025448722.

The spelling of 123136249 in words is "one hundred twenty-three million, one hundred thirty-six thousand, two hundred forty-nine".