133354368 has 192 divisors, whose sum is σ = 458265600. Its totient is φ = 36393984.

The previous prime is 133354367. The next prime is 133354381. The reversal of 133354368 is 863453331.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133354363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185113 + ... + 185831.

It is an arithmetic number, because the mean of its divisors is an integer number (2386800).

Almost surely, 2^133354368 is an apocalyptic number.

133354368 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 133354368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229132800).

133354368 is an abundant number, since it is smaller than the sum of its proper divisors (324911232).

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

133354368 is a wasteful number, since it uses less digits than its factorization.

133354368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 754 counting only the distinct ones).

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

The square root of 133354368 is about 11547.9161756570. The cubic root of 133354368 is about 510.8998186222.

The spelling of 133354368 in words is "one hundred thirty-three million, three hundred fifty-four thousand, three hundred sixty-eight".