137747329 has 2 divisors, whose sum is σ = 137747330. Its totient is φ = 137747328.

The previous prime is 137747327. The next prime is 137747443. The reversal of 137747329 is 923747731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 136258929 + 1488400 = 11673^2 + 1220^2 .

It is a cyclic number.

It is not a de Polignac number, because 137747329 - 2¹ = 137747327 is a prime.

Together with 137747327, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (137747327) 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, 68873664 + 68873665.

It is an arithmetic number, because the mean of its divisors is an integer number (68873665).

Almost surely, 2^137747329 is an apocalyptic number.

It is an amenable number.

137747329 is a deficient number, since it is larger than the sum of its proper divisors (1).

137747329 is an equidigital number, since it uses as much as digits as its factorization.

137747329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 222264, while the sum is 43.

The square root of 137747329 is about 11736.5808053283. The cubic root of 137747329 is about 516.4493424308.

The spelling of 137747329 in words is "one hundred thirty-seven million, seven hundred forty-seven thousand, three hundred twenty-nine".