133288640 has 112 divisors (see below), whose sum is σ = 335767680. Its totient is φ = 50319360.

The previous prime is 133288637. The next prime is 133288679. The reversal of 133288640 is 46882331.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 133288640.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 491705 + ... + 491975.

Almost surely, 2^133288640 is an apocalyptic number.

133288640 is a gapful number since it is divisible by the number (10) 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 133288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167883840).

133288640 is an abundant number, since it is smaller than the sum of its proper divisors (202479040).

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

133288640 is a wasteful number, since it uses less digits than its factorization.

133288640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 133288640 is about 11545.0699434867. The cubic root of 133288640 is about 510.8158670118.

The spelling of 133288640 in words is "one hundred thirty-three million, two hundred eighty-eight thousand, six hundred forty".