137834729 has 2 divisors, whose sum is σ = 137834730. Its totient is φ = 137834728.

The previous prime is 137834713. The next prime is 137834771. The reversal of 137834729 is 927438731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97219600 + 40615129 = 9860^2 + 6373^2 .

It is an emirp because it is prime and its reverse (927438731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137834729 - 2⁴ = 137834713 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137834729.

It is not a weakly prime, because it can be changed into another prime (137834789) 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, 68917364 + 68917365.

It is an arithmetic number, because the mean of its divisors is an integer number (68917365).

Almost surely, 2^137834729 is an apocalyptic number.

It is an amenable number.

137834729 is a deficient number, since it is larger than the sum of its proper divisors (1).

137834729 is an equidigital number, since it uses as much as digits as its factorization.

137834729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 254016, while the sum is 44.

The square root of 137834729 is about 11740.3036161762. The cubic root of 137834729 is about 516.5585475231.

The spelling of 137834729 in words is "one hundred thirty-seven million, eight hundred thirty-four thousand, seven hundred twenty-nine".