137206129 has 2 divisors, whose sum is σ = 137206130. Its totient is φ = 137206128.

The previous prime is 137206123. The next prime is 137206171. The reversal of 137206129 is 921602731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81360400 + 55845729 = 9020^2 + 7473^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-137206129 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137206129.

It is not a weakly prime, because it can be changed into another prime (137206123) 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, 68603064 + 68603065.

It is an arithmetic number, because the mean of its divisors is an integer number (68603065).

Almost surely, 2^137206129 is an apocalyptic number.

It is an amenable number.

137206129 is a deficient number, since it is larger than the sum of its proper divisors (1).

137206129 is an equidigital number, since it uses as much as digits as its factorization.

137206129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 137206129 is about 11713.5019955605. The cubic root of 137206129 is about 515.7720897732.

The spelling of 137206129 in words is "one hundred thirty-seven million, two hundred six thousand, one hundred twenty-nine".