133243125034152 has 128 divisors (see below), whose sum is σ = 382718065213440. Its totient is φ = 37867153605120.

The previous prime is 133243125034099. The next prime is 133243125034241. The reversal of 133243125034152 is 251430521342331.

It is a happy number.

It is a super-2 number, since 2×133243125034152² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 133243125034152.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 422666013 + ... + 422981139.

It is an arithmetic number, because the mean of its divisors is an integer number (2989984884480).

Almost surely, 2^{133243125034152} is an apocalyptic number.

133243125034152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133243125034152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191359032606720).

133243125034152 is an abundant number, since it is smaller than the sum of its proper divisors (249474940179288).

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

133243125034152 is a wasteful number, since it uses less digits than its factorization.

133243125034152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328511 (or 328507 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

Adding to 133243125034152 its reverse (251430521342331), we get a palindrome (384673646376483).

The spelling of 133243125034152 in words is "one hundred thirty-three trillion, two hundred forty-three billion, one hundred twenty-five million, thirty-four thousand, one hundred fifty-two".