133409472 has 112 divisors (see below), whose sum is σ = 427207680. Its totient is φ = 35868672.

The previous prime is 133409429. The next prime is 133409473. The reversal of 133409472 is 274904331.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (133409473) 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, 19929 + ... + 25767.

Almost surely, 2^133409472 is an apocalyptic number.

133409472 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 133409472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213603840).

133409472 is an abundant number, since it is smaller than the sum of its proper divisors (293798208).

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

133409472 is a wasteful number, since it uses less digits than its factorization.

133409472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5878 (or 5868 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 133409472 is about 11550.3018142384. The cubic root of 133409472 is about 510.9701793891.

The spelling of 133409472 in words is "one hundred thirty-three million, four hundred nine thousand, four hundred seventy-two".