133623168 has 64 divisors (see below), whose sum is σ = 405649920. Its totient is φ = 38177280.

The previous prime is 133623157. The next prime is 133623197. The reversal of 133623168 is 861326331.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22168 + ... + 27543.

It is an arithmetic number, because the mean of its divisors is an integer number (6338280).

Almost surely, 2^133623168 is an apocalyptic number.

It is an amenable number.

133623168 is an abundant number, since it is smaller than the sum of its proper divisors (272026752).

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

133623168 is an equidigital number, since it uses as much as digits as its factorization.

133623168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49735 (or 49723 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 133623168 is about 11559.5487801211. The cubic root of 133623168 is about 511.2428587625.

Adding to 133623168 its reverse (861326331), we get a palindrome (994949499).

The spelling of 133623168 in words is "one hundred thirty-three million, six hundred twenty-three thousand, one hundred sixty-eight".