133531513233552 has 240 divisors, whose sum is σ = 443745440736000. Its totient is φ = 36675420558336.

The previous prime is 133531513233529. The next prime is 133531513233577. The reversal of 133531513233552 is 255332315135331.

133531513233552 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 31 + 5 + 1 + 32 + 33 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 133531513233498 and 133531513233507.

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, 3279652 + ... + 16667907.

It is an arithmetic number, because the mean of its divisors is an integer number (1848939336400).

Almost surely, 2^{133531513233552} is an apocalyptic number.

133531513233552 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 133531513233552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221872720368000).

133531513233552 is an abundant number, since it is smaller than the sum of its proper divisors (310213927502448).

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

133531513233552 is a wasteful number, since it uses less digits than its factorization.

133531513233552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19947838 (or 19947829 counting only the distinct ones).

The product of its digits is 1822500, while the sum is 45.

Adding to 133531513233552 its reverse (255332315135331), we get a palindrome (388863828368883).

The spelling of 133531513233552 in words is "one hundred thirty-three trillion, five hundred thirty-one billion, five hundred thirteen million, two hundred thirty-three thousand, five hundred fifty-two".