137323704462401 has 2 divisors, whose sum is σ = 137323704462402. Its totient is φ = 137323704462400.

The previous prime is 137323704462391. The next prime is 137323704462457. The reversal of 137323704462401 is 104264407323731.

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., 122621073433600 + 14702631028801 = 11073440^2 + 3834401^2 .

It is a cyclic number.

It is not a de Polignac number, because 137323704462401 - 2²⁶ = 137323637353537 is a prime.

It is not a weakly prime, because it can be changed into another prime (137323704462101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68661852231200 + 68661852231201.

It is an arithmetic number, because the mean of its divisors is an integer number (68661852231201).

Almost surely, 2^{137323704462401} is an apocalyptic number.

It is an amenable number.

137323704462401 is a deficient number, since it is larger than the sum of its proper divisors (1).

137323704462401 is an equidigital number, since it uses as much as digits as its factorization.

137323704462401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2032128, while the sum is 47.

The spelling of 137323704462401 in words is "one hundred thirty-seven trillion, three hundred twenty-three billion, seven hundred four million, four hundred sixty-two thousand, four hundred one".