133903168 has 56 divisors (see below), whose sum is σ = 305116992. Its totient is φ = 57114624.

The previous prime is 133903163. The next prime is 133903181. The reversal of 133903168 is 861309331.

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133903163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114555 + ... + 115717.

Almost surely, 2^133903168 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 133903168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152558496).

133903168 is an abundant number, since it is smaller than the sum of its proper divisors (171213824).

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

133903168 is a wasteful number, since it uses less digits than its factorization.

133903168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 133903168 is about 11571.6536415501. The cubic root of 133903168 is about 511.5997033940.

The spelling of 133903168 in words is "one hundred thirty-three million, nine hundred three thousand, one hundred sixty-eight".