137929301 has 2 divisors, whose sum is σ = 137929302. Its totient is φ = 137929300.

The previous prime is 137929277. The next prime is 137929333. The reversal of 137929301 is 103929731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97911025 + 40018276 = 9895^2 + 6326^2 .

It is a cyclic number.

It is not a de Polignac number, because 137929301 - 2¹⁴ = 137912917 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137929901) 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, 68964650 + 68964651.

It is an arithmetic number, because the mean of its divisors is an integer number (68964651).

Almost surely, 2^137929301 is an apocalyptic number.

It is an amenable number.

137929301 is a deficient number, since it is larger than the sum of its proper divisors (1).

137929301 is an equidigital number, since it uses as much as digits as its factorization.

137929301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10206, while the sum is 35.

The square root of 137929301 is about 11744.3305896931. The cubic root of 137929301 is about 516.6766619410.

The spelling of 137929301 in words is "one hundred thirty-seven million, nine hundred twenty-nine thousand, three hundred one".