133112448 has 192 divisors, whose sum is σ = 463993920. Its totient is φ = 35758080.

The previous prime is 133112443. The next prime is 133112449. The reversal of 133112448 is 844211331.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (133112443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136603 + ... + 137573.

It is an arithmetic number, because the mean of its divisors is an integer number (2416635).

Almost surely, 2^133112448 is an apocalyptic number.

133112448 is a gapful number since it is divisible by the number (18) 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 133112448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231996960).

133112448 is an abundant number, since it is smaller than the sum of its proper divisors (330881472).

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

133112448 is a wasteful number, since it uses less digits than its factorization.

133112448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 1000 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 133112448 is about 11537.4368037272. The cubic root of 133112448 is about 510.5906881428.

Adding to 133112448 its reverse (844211331), we get a palindrome (977323779).

The spelling of 133112448 in words is "one hundred thirty-three million, one hundred twelve thousand, four hundred forty-eight".