133224214340052 has 144 divisors (see below), whose sum is σ = 387295352930304. Its totient is φ = 38237435784000.

The previous prime is 133224214340039. The next prime is 133224214340059. The reversal of 133224214340052 is 250043412422331.

133224214340052 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 242 + 1 + 4 + 3 + 400 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 133224214339989 and 133224214340016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133224214340059) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114874224 + ... + 116028167.

It is an arithmetic number, because the mean of its divisors is an integer number (2689551062016).

Almost surely, 2^{133224214340052} is an apocalyptic number.

133224214340052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133224214340052 is an abundant number, since it is smaller than the sum of its proper divisors (254071138590252).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133224214340052 is a wasteful number, since it uses less digits than its factorization.

133224214340052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230902490 (or 230902485 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 133224214340052 its reverse (250043412422331), we get a palindrome (383267626762383).

The spelling of 133224214340052 in words is "one hundred thirty-three trillion, two hundred twenty-four billion, two hundred fourteen million, three hundred forty thousand, fifty-two".