133534128 has 160 divisors (see below), whose sum is σ = 447193600. Its totient is φ = 33343488.

The previous prime is 133534123. The next prime is 133534129. The reversal of 133534128 is 821435331.

It is a junction number, because it is equal to n+sod(n) for n = 133534095 and 133534104.

It is not an unprimeable number, because it can be changed into a prime (133534123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82188 + ... + 83796.

It is an arithmetic number, because the mean of its divisors is an integer number (2794960).

Almost surely, 2^133534128 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 133534128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223596800).

133534128 is an abundant number, since it is smaller than the sum of its proper divisors (313659472).

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

133534128 is a wasteful number, since it uses less digits than its factorization.

133534128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659 (or 1653 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 133534128 is about 11555.6967769148. The cubic root of 133534128 is about 511.1292777132.

Adding to 133534128 its reverse (821435331), we get a palindrome (954969459).

The spelling of 133534128 in words is "one hundred thirty-three million, five hundred thirty-four thousand, one hundred twenty-eight".