133888128 has 128 divisors (see below), whose sum is σ = 401716800. Its totient is φ = 39137280.

The previous prime is 133888121. The next prime is 133888159. The reversal of 133888128 is 821888331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a self number, because there is not a number n which added to its sum of digits gives 133888128.

It is not an unprimeable number, because it can be changed into a prime (133888121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121950 + ... + 123042.

Almost surely, 2^133888128 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 133888128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200858400).

133888128 is an abundant number, since it is smaller than the sum of its proper divisors (267828672).

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

133888128 is a wasteful number, since it uses less digits than its factorization.

133888128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1138 counting only the distinct ones).

The product of its digits is 73728, while the sum is 42.

The square root of 133888128 is about 11571.0037593979. The cubic root of 133888128 is about 511.5805483888.

The spelling of 133888128 in words is "one hundred thirty-three million, eight hundred eighty-eight thousand, one hundred twenty-eight".