133523430460065 has 48 divisors (see below), whose sum is σ = 232454018356560. Its totient is φ = 70900732016640.

The previous prime is 133523430459961. The next prime is 133523430460081. The reversal of 133523430460065 is 560064034325331.

133523430460065 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 2 + 3 + 4 + 30 + 4 + 600 + 6 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 15408419726736 + 118115010733329 = 3925356^2 + 10868073^2 .

It is not a de Polignac number, because 133523430460065 - 2¹⁸ = 133523430197921 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 133523430460065.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122014435 + ... + 123103895.

It is an arithmetic number, because the mean of its divisors is an integer number (4842792049095).

Almost surely, 2^{133523430460065} is an apocalyptic number.

133523430460065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133523430460065 is a deficient number, since it is larger than the sum of its proper divisors (98930587896495).

133523430460065 is a wasteful number, since it uses less digits than its factorization.

133523430460065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101394 (or 1101391 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 45.

Adding to 133523430460065 its reverse (560064034325331), we get a palindrome (693587464785396).

The spelling of 133523430460065 in words is "one hundred thirty-three trillion, five hundred twenty-three billion, four hundred thirty million, four hundred sixty thousand, sixty-five".