137334686642029 has 2 divisors, whose sum is σ = 137334686642030. Its totient is φ = 137334686642028.

The previous prime is 137334686642011. The next prime is 137334686642033. The reversal of 137334686642029 is 920246686433731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 136752021586404 + 582665055625 = 11694102^2 + 763325^2 .

It is a cyclic number.

It is not a de Polignac number, because 137334686642029 - 2³⁹ = 136784930828141 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137334686642089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68667343321014 + 68667343321015.

It is an arithmetic number, because the mean of its divisors is an integer number (68667343321015).

Almost surely, 2^{137334686642029} is an apocalyptic number.

It is an amenable number.

137334686642029 is a deficient number, since it is larger than the sum of its proper divisors (1).

137334686642029 is an equidigital number, since it uses as much as digits as its factorization.

137334686642029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 188116992, while the sum is 64.

The spelling of 137334686642029 in words is "one hundred thirty-seven trillion, three hundred thirty-four billion, six hundred eighty-six million, six hundred forty-two thousand, twenty-nine".