133730688 has 256 divisors, whose sum is σ = 452390400. Its totient is φ = 34062336.

The previous prime is 133730669. The next prime is 133730689. The reversal of 133730688 is 886037331.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133730689) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1502548 + ... + 1502636.

It is an arithmetic number, because the mean of its divisors is an integer number (1767150).

Almost surely, 2^133730688 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 133730688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226195200).

133730688 is an abundant number, since it is smaller than the sum of its proper divisors (318659712).

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

133730688 is a wasteful number, since it uses less digits than its factorization.

133730688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 133730688 is about 11564.1985455111. The cubic root of 133730688 is about 511.3799460057.

The spelling of 133730688 in words is "one hundred thirty-three million, seven hundred thirty thousand, six hundred eighty-eight".