137405249 has 2 divisors, whose sum is σ = 137405250. Its totient is φ = 137405248.

The previous prime is 137405221. The next prime is 137405287. The reversal of 137405249 is 942504731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 135024400 + 2380849 = 11620^2 + 1543^2 .

It is a cyclic number.

It is not a de Polignac number, because 137405249 - 2¹² = 137401153 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (137401249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68702624 + 68702625.

It is an arithmetic number, because the mean of its divisors is an integer number (68702625).

Almost surely, 2^137405249 is an apocalyptic number.

It is an amenable number.

137405249 is a deficient number, since it is larger than the sum of its proper divisors (1).

137405249 is an equidigital number, since it uses as much as digits as its factorization.

137405249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 137405249 is about 11721.9985070806. The cubic root of 137405249 is about 516.0214734268.

Adding to 137405249 its sum of digits (35), we get a square (137405284 = 11722²).

The spelling of 137405249 in words is "one hundred thirty-seven million, four hundred five thousand, two hundred forty-nine".