137864414033 has 2 divisors, whose sum is σ = 137864414034. Its totient is φ = 137864414032.

The previous prime is 137864413949. The next prime is 137864414147. The reversal of 137864414033 is 330414468731.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 111881553169 + 25982860864 = 334487^2 + 161192^2 .

It is a cyclic number.

It is not a de Polignac number, because 137864414033 - 2¹⁶ = 137864348497 is a prime.

It is not a weakly prime, because it can be changed into another prime (137864414533) 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, 68932207016 + 68932207017.

It is an arithmetic number, because the mean of its divisors is an integer number (68932207017).

Almost surely, 2^137864414033 is an apocalyptic number.

It is an amenable number.

137864414033 is a deficient number, since it is larger than the sum of its proper divisors (1).

137864414033 is an equidigital number, since it uses as much as digits as its factorization.

137864414033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 580608, while the sum is 44.

The spelling of 137864414033 in words is "one hundred thirty-seven billion, eight hundred sixty-four million, four hundred fourteen thousand, thirty-three".