133405221344355 has 64 divisors (see below), whose sum is σ = 238183463577600. Its totient is φ = 70843929488640.

The previous prime is 133405221344233. The next prime is 133405221344357. The reversal of 133405221344355 is 553443122504331.

133405221344355 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 0 + 522 + 1 + 34 + 43 + 55 = 666.

It is not a de Polignac number, because 133405221344355 - 2⁹ = 133405221343843 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 133405221344355.

It is not an unprimeable number, because it can be changed into a prime (133405221344357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 297937152 + ... + 298384578.

It is an arithmetic number, because the mean of its divisors is an integer number (3721616618400).

Almost surely, 2^{133405221344355} is an apocalyptic number.

133405221344355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

133405221344355 is a deficient number, since it is larger than the sum of its proper divisors (104778242233245).

133405221344355 is a wasteful number, since it uses less digits than its factorization.

133405221344355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456921 (or 456915 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 45.

Adding to 133405221344355 its reverse (553443122504331), we get a palindrome (686848343848686).

The spelling of 133405221344355 in words is "one hundred thirty-three trillion, four hundred five billion, two hundred twenty-one million, three hundred forty-four thousand, three hundred fifty-five".