137727049 has 2 divisors, whose sum is σ = 137727050. Its totient is φ = 137727048.

The previous prime is 137727011. The next prime is 137727053. The reversal of 137727049 is 940727731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90117049 + 47610000 = 9493^2 + 6900^2 .

It is an emirp because it is prime and its reverse (940727731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137727049 - 2¹⁹ = 137202761 is a prime.

It is not a weakly prime, because it can be changed into another prime (137727089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68863524 + 68863525.

It is an arithmetic number, because the mean of its divisors is an integer number (68863525).

Almost surely, 2^137727049 is an apocalyptic number.

It is an amenable number.

137727049 is a deficient number, since it is larger than the sum of its proper divisors (1).

137727049 is an equidigital number, since it uses as much as digits as its factorization.

137727049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 74088, while the sum is 40.

The square root of 137727049 is about 11735.7168081034. The cubic root of 137727049 is about 516.4239962485.

The spelling of 137727049 in words is "one hundred thirty-seven million, seven hundred twenty-seven thousand, forty-nine".