137075249 has 2 divisors, whose sum is σ = 137075250. Its totient is φ = 137075248.

The previous prime is 137075221. The next prime is 137075251. The reversal of 137075249 is 942570731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121330225 + 15745024 = 11015^2 + 3968^2 .

It is a cyclic number.

It is not a de Polignac number, because 137075249 - 2²⁴ = 120298033 is a prime.

Together with 137075251, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (137075209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68537624 + 68537625.

It is an arithmetic number, because the mean of its divisors is an integer number (68537625).

Almost surely, 2^137075249 is an apocalyptic number.

It is an amenable number.

137075249 is a deficient number, since it is larger than the sum of its proper divisors (1).

137075249 is an equidigital number, since it uses as much as digits as its factorization.

137075249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 52920, while the sum is 38.

The square root of 137075249 is about 11707.9139474118. The cubic root of 137075249 is about 515.6080404290.

The spelling of 137075249 in words is "one hundred thirty-seven million, seventy-five thousand, two hundred forty-nine".