133633562112 has 120 divisors (see below), whose sum is σ = 386672148720. Its totient is φ = 44429414400.

The previous prime is 133633562099. The next prime is 133633562119. The reversal of 133633562112 is 211265336331.

133633562112 is a `hidden beast` number, since 1 + 3 + 3 + 633 + 5 + 6 + 2 + 1 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133633562119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1755237 + ... + 1829787.

It is an arithmetic number, because the mean of its divisors is an integer number (3222267906).

Almost surely, 2^133633562112 is an apocalyptic number.

133633562112 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 133633562112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193336074360).

133633562112 is an abundant number, since it is smaller than the sum of its proper divisors (253038586608).

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

133633562112 is an equidigital number, since it uses as much as digits as its factorization.

133633562112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74964 (or 74945 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

Adding to 133633562112 its reverse (211265336331), we get a palindrome (344898898443).

The spelling of 133633562112 in words is "one hundred thirty-three billion, six hundred thirty-three million, five hundred sixty-two thousand, one hundred twelve".