133434912 has 96 divisors (see below), whose sum is σ = 389491200. Its totient is φ = 39720960.

The previous prime is 133434911. The next prime is 133434947. The reversal of 133434912 is 219434331.

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

It is a self number, because there is not a number n which added to its sum of digits gives 133434912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133434911) 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, 36964 + ... + 40412.

It is an arithmetic number, because the mean of its divisors is an integer number (4057200).

Almost surely, 2^133434912 is an apocalyptic number.

133434912 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 133434912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194745600).

133434912 is an abundant number, since it is smaller than the sum of its proper divisors (256056288).

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

133434912 is a wasteful number, since it uses less digits than its factorization.

133434912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3506 (or 3498 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

The square root of 133434912 is about 11551.4030316668. The cubic root of 133434912 is about 511.0026564813.

The spelling of 133434912 in words is "one hundred thirty-three million, four hundred thirty-four thousand, nine hundred twelve".