133945344 has 216 divisors, whose sum is σ = 428648220. Its totient is φ = 40255488.

The previous prime is 133945337. The next prime is 133945349. The reversal of 133945344 is 443549331.

133945344 is a `hidden beast` number, since 1 + 33 + 94 + 534 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 133945299 and 133945308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133945349) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3114987 + ... + 3115029.

Almost surely, 2^133945344 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 133945344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214324110).

133945344 is an abundant number, since it is smaller than the sum of its proper divisors (294702876).

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

133945344 is a wasteful number, since it uses less digits than its factorization.

133945344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 61 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 133945344 is about 11573.4758823786. The cubic root of 133945344 is about 511.6534112696.

The spelling of 133945344 in words is "one hundred thirty-three million, nine hundred forty-five thousand, three hundred forty-four".