133201541536641 has 40 divisors (see below), whose sum is σ = 210871405510920. Its totient is φ = 83503409006592.

The previous prime is 133201541536589. The next prime is 133201541536711. The reversal of 133201541536641 is 146635145102331.

133201541536641 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 0 + 1 + 54 + 1 + 536 + 64 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1452374471025 + 131749167065616 = 1205145^2 + 11478204^2 .

It is not a de Polignac number, because 133201541536641 - 2³⁰ = 133200467794817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133201541546641) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41285556 + ... + 44394821.

It is an arithmetic number, because the mean of its divisors is an integer number (5271785137773).

Almost surely, 2^{133201541536641} is an apocalyptic number.

It is an amenable number.

133201541536641 is a deficient number, since it is larger than the sum of its proper divisors (77669863974279).

133201541536641 is a wasteful number, since it uses less digits than its factorization.

133201541536641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85681535 (or 85681526 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

Adding to 133201541536641 its reverse (146635145102331), we get a palindrome (279836686638972).

The spelling of 133201541536641 in words is "one hundred thirty-three trillion, two hundred one billion, five hundred forty-one million, five hundred thirty-six thousand, six hundred forty-one".