133819128 has 96 divisors (see below), whose sum is σ = 395740800. Its totient is φ = 42247008.

The previous prime is 133819111. The next prime is 133819159. The reversal of 133819128 is 821918331.

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 junction number, because it is equal to n+sod(n) for n = 133819092 and 133819101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35125 + ... + 38747.

It is an arithmetic number, because the mean of its divisors is an integer number (4122300).

Almost surely, 2^133819128 is an apocalyptic number.

133819128 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 133819128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197870400).

133819128 is an abundant number, since it is smaller than the sum of its proper divisors (261921672).

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

133819128 is a wasteful number, since it uses less digits than its factorization.

133819128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3663 (or 3647 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 133819128 is about 11568.0217842119. The cubic root of 133819128 is about 511.4926513164.

The spelling of 133819128 in words is "one hundred thirty-three million, eight hundred nineteen thousand, one hundred twenty-eight".