133767728 has 60 divisors (see below), whose sum is σ = 276357312. Its totient is φ = 62657280.

The previous prime is 133767727. The next prime is 133767779. The reversal of 133767728 is 827767331.

It is not an unprimeable number, because it can be changed into a prime (133767727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 678926 + ... + 679122.

Almost surely, 2^133767728 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 133767728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138178656).

133767728 is an abundant number, since it is smaller than the sum of its proper divisors (142589584).

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

133767728 is a wasteful number, since it uses less digits than its factorization.

133767728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 267 counting only the distinct ones).

The product of its digits is 296352, while the sum is 44.

The square root of 133767728 is about 11565.7999291013. The cubic root of 133767728 is about 511.4271547279.

The spelling of 133767728 in words is "one hundred thirty-three million, seven hundred sixty-seven thousand, seven hundred twenty-eight".