133735680 has 432 divisors, whose sum is σ = 535691520. Its totient is φ = 30523392.

The previous prime is 133735669. The next prime is 133735687. The reversal of 133735680 is 86537331.

133735680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133735687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2845417 + ... + 2845463.

Almost surely, 2^133735680 is an apocalyptic number.

133735680 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 133735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267845760).

133735680 is an abundant number, since it is smaller than the sum of its proper divisors (401955840).

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

133735680 is a wasteful number, since it uses less digits than its factorization.

133735680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 133735680 is about 11564.4143820602. The cubic root of 133735680 is about 511.3863089853.

The spelling of 133735680 in words is "one hundred thirty-three million, seven hundred thirty-five thousand, six hundred eighty".