137913029 has 2 divisors, whose sum is σ = 137913030. Its totient is φ = 137913028.

The previous prime is 137913011. The next prime is 137913047. The reversal of 137913029 is 920319731.

It is a balanced prime because it is at equal distance from previous prime (137913011) and next prime (137913047).

It can be written as a sum of positive squares in only one way, i.e., 87928129 + 49984900 = 9377^2 + 7070^2 .

It is an emirp because it is prime and its reverse (920319731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137913029 - 2¹² = 137908933 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137913029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137913089) 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, 68956514 + 68956515.

It is an arithmetic number, because the mean of its divisors is an integer number (68956515).

Almost surely, 2^137913029 is an apocalyptic number.

It is an amenable number.

137913029 is a deficient number, since it is larger than the sum of its proper divisors (1).

137913029 is an equidigital number, since it uses as much as digits as its factorization.

137913029 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 137913029 is about 11743.6378094694. The cubic root of 137913029 is about 516.6563430935.

The spelling of 137913029 in words is "one hundred thirty-seven million, nine hundred thirteen thousand, twenty-nine".