133430112 has 96 divisors (see below), whose sum is σ = 391154400. Its totient is φ = 44250624.

The previous prime is 133430111. The next prime is 133430147. The reversal of 133430112 is 211034331.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133430111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 335898 + ... + 336294.

It is an arithmetic number, because the mean of its divisors is an integer number (4074525).

Almost surely, 2^133430112 is an apocalyptic number.

133430112 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 133430112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195577200).

133430112 is an abundant number, since it is smaller than the sum of its proper divisors (257724288).

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

133430112 is a wasteful number, since it uses less digits than its factorization.

133430112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 133430112 is about 11551.1952628289. The cubic root of 133430112 is about 510.9965290440.

Adding to 133430112 its reverse (211034331), we get a palindrome (344464443).

The spelling of 133430112 in words is "one hundred thirty-three million, four hundred thirty thousand, one hundred twelve".