133336728 has 96 divisors (see below), whose sum is σ = 419571360. Its totient is φ = 37463040.

The previous prime is 133336717. The next prime is 133336733. The reversal of 133336728 is 827633331.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 133336692 and 133336701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28576 + ... + 32912.

It is an arithmetic number, because the mean of its divisors is an integer number (4370535).

Almost surely, 2^133336728 is an apocalyptic number.

133336728 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 133336728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209785680).

133336728 is an abundant number, since it is smaller than the sum of its proper divisors (286234632).

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

133336728 is a wasteful number, since it uses less digits than its factorization.

133336728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4417 (or 4410 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 133336728 is about 11547.1523762355. The cubic root of 133336728 is about 510.8772905007.

The spelling of 133336728 in words is "one hundred thirty-three million, three hundred thirty-six thousand, seven hundred twenty-eight".