133019328 has 112 divisors (see below), whose sum is σ = 382767840. Its totient is φ = 40525824.

The previous prime is 133019309. The next prime is 133019333. The reversal of 133019328 is 823910331.

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 133019295 and 133019304.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 341758 + ... + 342146.

It is an arithmetic number, because the mean of its divisors is an integer number (3417570).

Almost surely, 2^133019328 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 133019328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191383920).

133019328 is an abundant number, since it is smaller than the sum of its proper divisors (249748512).

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

133019328 is a wasteful number, since it uses less digits than its factorization.

133019328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 133019328 is about 11533.4005393032. The cubic root of 133019328 is about 510.4715976118.

Adding to 133019328 its reverse (823910331), we get a palindrome (956929659).

The spelling of 133019328 in words is "one hundred thirty-three million, nineteen thousand, three hundred twenty-eight".