133802928 has 250 divisors, whose sum is σ = 462288244. Its totient is φ = 37340352.

The previous prime is 133802923. The next prime is 133802947. The reversal of 133802928 is 829208331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 133802892 and 133802901.

It is not an unprimeable number, because it can be changed into a prime (133802923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 3111675 + ... + 3111717.

Almost surely, 2^133802928 is an apocalyptic number.

133802928 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 133802928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231144122).

133802928 is an abundant number, since it is smaller than the sum of its proper divisors (328485316).

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

133802928 is an frugal number, since it uses more digits than its factorization.

133802928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 133802928 is about 11567.3215568687. The cubic root of 133802928 is about 511.4720102330.

The spelling of 133802928 in words is "one hundred thirty-three million, eight hundred two thousand, nine hundred twenty-eight".