133442113200 has 480 divisors, whose sum is σ = 480789560832. Its totient is φ = 31352832000.

The previous prime is 133442113157. The next prime is 133442113229. The reversal of 133442113200 is 2311244331.

It is a happy number.

It is a super-2 number, since 2×133442113200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 211476885 + ... + 211477515.

Almost surely, 2^133442113200 is an apocalyptic number.

133442113200 is a gapful number since it is divisible by the number (10) 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 133442113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240394780416).

133442113200 is an abundant number, since it is smaller than the sum of its proper divisors (347347447632).

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

133442113200 is a wasteful number, since it uses less digits than its factorization.

133442113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 133442113200 its reverse (2311244331), we get a palindrome (135753357531).

It can be divided in two parts, 133442 and 113200, that added together give a palindrome (246642).

The spelling of 133442113200 in words is "one hundred thirty-three billion, four hundred forty-two million, one hundred thirteen thousand, two hundred".