133816344 has 64 divisors (see below), whose sum is σ = 345354240. Its totient is φ = 43182720.

The previous prime is 133816337. The next prime is 133816433. The reversal of 133816344 is 443618331.

133816344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130554 + ... + 131574.

It is an arithmetic number, because the mean of its divisors is an integer number (5396160).

Almost surely, 2^133816344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133816344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172677120).

133816344 is an abundant number, since it is smaller than the sum of its proper divisors (211537896).

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

133816344 is a wasteful number, since it uses less digits than its factorization.

133816344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1196 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 133816344 is about 11567.9014518624. The cubic root of 133816344 is about 511.4891042265.

The spelling of 133816344 in words is "one hundred thirty-three million, eight hundred sixteen thousand, three hundred forty-four".