133356432 has 160 divisors (see below), whose sum is σ = 404974080. Its totient is φ = 37365760.

The previous prime is 133356409. The next prime is 133356439. The reversal of 133356432 is 234653331.

133356432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 133356432.

It is not an unprimeable number, because it can be changed into a prime (133356439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 744919 + ... + 745097.

It is an arithmetic number, because the mean of its divisors is an integer number (2531088).

Almost surely, 2^133356432 is an apocalyptic number.

133356432 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 133356432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202487040).

133356432 is an abundant number, since it is smaller than the sum of its proper divisors (271617648).

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

133356432 is a wasteful number, since it uses less digits than its factorization.

133356432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 295 counting only the distinct ones).

The product of its digits is 19440, while the sum is 30.

The square root of 133356432 is about 11548.0055420839. The cubic root of 133356432 is about 510.9024544358.

The spelling of 133356432 in words is "one hundred thirty-three million, three hundred fifty-six thousand, four hundred thirty-two".