136413733577641 has 81 divisors (see below), whose sum is σ = 160959876994893. Its totient is φ = 115533021327360.

The previous prime is 136413733577633. The next prime is 136413733577683. The reversal of 136413733577641 is 146775337314631.

The square root of 136413733577641 is 11679629.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 40 ways, for example, as 122647407487641 + 13766326090000 = 11074629^2 + 3710300^2 .

It is not a de Polignac number, because 136413733577641 - 2³ = 136413733577633 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 136413733577641.

It is not an unprimeable number, because it can be changed into a prime (136413733577441) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 105829117725 + ... + 105829119013.

Almost surely, 2^{136413733577641} is an apocalyptic number.

136413733577641 is the 11679629-th square number.

136413733577641 is the 5839815-th centered octagonal number.

It is an amenable number.

136413733577641 is a deficient number, since it is larger than the sum of its proper divisors (24546143417252).

136413733577641 is an frugal number, since it uses more digits than its factorization.

136413733577641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2720 (or 1360 counting only the distinct ones).

The product of its digits is 80015040, while the sum is 61.

The spelling of 136413733577641 in words is "one hundred thirty-six trillion, four hundred thirteen billion, seven hundred thirty-three million, five hundred seventy-seven thousand, six hundred forty-one".