133868672 has 64 divisors (see below), whose sum is σ = 310651200. Its totient is φ = 56269824.

The previous prime is 133868629. The next prime is 133868687. The reversal of 133868672 is 276868331.

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

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, 46079 + ... + 48897.

It is an arithmetic number, because the mean of its divisors is an integer number (4853925).

Almost surely, 2^133868672 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 133868672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155325600).

133868672 is an abundant number, since it is smaller than the sum of its proper divisors (176782528).

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

133868672 is an equidigital number, since it uses as much as digits as its factorization.

133868672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2893 (or 2881 counting only the distinct ones).

The product of its digits is 290304, while the sum is 44.

The square root of 133868672 is about 11570.1630066305. The cubic root of 133868672 is about 511.5557670198. Note that the first 3 decimals are identical.

The spelling of 133868672 in words is "one hundred thirty-three million, eight hundred sixty-eight thousand, six hundred seventy-two".