137931649 has 2 divisors, whose sum is σ = 137931650. Its totient is φ = 137931648.

The previous prime is 137931623. The next prime is 137931701. The reversal of 137931649 is 946139731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83393424 + 54538225 = 9132^2 + 7385^2 .

It is a cyclic number.

It is not a de Polignac number, because 137931649 - 2⁹ = 137931137 is a prime.

It is not a weakly prime, because it can be changed into another prime (137931049) 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, 68965824 + 68965825.

It is an arithmetic number, because the mean of its divisors is an integer number (68965825).

Almost surely, 2^137931649 is an apocalyptic number.

It is an amenable number.

137931649 is a deficient number, since it is larger than the sum of its proper divisors (1).

137931649 is an equidigital number, since it uses as much as digits as its factorization.

137931649 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 122472, while the sum is 43.

The square root of 137931649 is about 11744.4305523938. The cubic root of 137931649 is about 516.6795937568.

The spelling of 137931649 in words is "one hundred thirty-seven million, nine hundred thirty-one thousand, six hundred forty-nine".