153585104037137 has 2 divisors, whose sum is σ = 153585104037138. Its totient is φ = 153585104037136.

The previous prime is 153585104037097. The next prime is 153585104037193. The reversal of 153585104037137 is 731730401585351.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 153561267456256 + 23836580881 = 12391984^2 + 154391^2 .

It is a cyclic number.

It is not a de Polignac number, because 153585104037137 - 2¹⁶ = 153585103971601 is a prime.

It is not a weakly prime, because it can be changed into another prime (153585104037037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 76792552018568 + 76792552018569.

It is an arithmetic number, because the mean of its divisors is an integer number (76792552018569).

Almost surely, 2^{153585104037137} is an apocalyptic number.

It is an amenable number.

153585104037137 is a deficient number, since it is larger than the sum of its proper divisors (1).

153585104037137 is an equidigital number, since it uses as much as digits as its factorization.

153585104037137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5292000, while the sum is 53.

The spelling of 153585104037137 in words is "one hundred fifty-three trillion, five hundred eighty-five billion, one hundred four million, thirty-seven thousand, one hundred thirty-seven".