137728249 has 2 divisors, whose sum is σ = 137728250. Its totient is φ = 137728248.

The previous prime is 137728231. The next prime is 137728267. The reversal of 137728249 is 942827731.

It is a balanced prime because it is at equal distance from previous prime (137728231) and next prime (137728267).

It can be written as a sum of positive squares in only one way, i.e., 124478649 + 13249600 = 11157^2 + 3640^2 .

It is an emirp because it is prime and its reverse (942827731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137728249 - 2⁷ = 137728121 is a prime.

It is not a weakly prime, because it can be changed into another prime (137728219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68864124 + 68864125.

It is an arithmetic number, because the mean of its divisors is an integer number (68864125).

Almost surely, 2^137728249 is an apocalyptic number.

It is an amenable number.

137728249 is a deficient number, since it is larger than the sum of its proper divisors (1).

137728249 is an equidigital number, since it uses as much as digits as its factorization.

137728249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 169344, while the sum is 43.

The square root of 137728249 is about 11735.7679339701. The cubic root of 137728249 is about 516.4254960919.

The spelling of 137728249 in words is "one hundred thirty-seven million, seven hundred twenty-eight thousand, two hundred forty-nine".