133239168 has 160 divisors (see below), whose sum is σ = 404323920. Its totient is φ = 43545600.

The previous prime is 133239163. The next prime is 133239173. The reversal of 133239168 is 861932331.

It is an interprime number because it is at equal distance from previous prime (133239163) and next prime (133239173).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133239163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 736038 + ... + 736218.

Almost surely, 2^133239168 is an apocalyptic number.

133239168 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 133239168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202161960).

133239168 is an abundant number, since it is smaller than the sum of its proper divisors (271084752).

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

133239168 is an equidigital number, since it uses as much as digits as its factorization.

133239168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 257 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 133239168 is about 11542.9271850774. The cubic root of 133239168 is about 510.7526603004.

The spelling of 133239168 in words is "one hundred thirty-three million, two hundred thirty-nine thousand, one hundred sixty-eight".