133334208 has 224 divisors, whose sum is σ = 457118720. Its totient is φ = 37324800.

The previous prime is 133334207. The next prime is 133334233. The reversal of 133334208 is 802433331.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×133334208² = 35556022045974528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133334203) 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, 882933 + ... + 883083.

Almost surely, 2^133334208 is an apocalyptic number.

133334208 is a gapful number since it is divisible by the number (18) 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 133334208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228559360).

133334208 is an abundant number, since it is smaller than the sum of its proper divisors (323784512).

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

133334208 is a wasteful number, since it uses less digits than its factorization.

133334208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 133334208 is about 11547.0432579081. The cubic root of 133334208 is about 510.8740720355.

Adding to 133334208 its reverse (802433331), we get a palindrome (935767539).

The spelling of 133334208 in words is "one hundred thirty-three million, three hundred thirty-four thousand, two hundred eight".