133267680 has 480 divisors, whose sum is σ = 583982784. Its totient is φ = 27869184.

The previous prime is 133267679. The next prime is 133267703. The reversal of 133267680 is 86762331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1179304 + ... + 1179416.

Almost surely, 2^133267680 is an apocalyptic number.

133267680 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 133267680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291991392).

133267680 is an abundant number, since it is smaller than the sum of its proper divisors (450715104).

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

133267680 is a wasteful number, since it uses less digits than its factorization.

133267680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 133267680 is about 11544.1621610232. The cubic root of 133267680 is about 510.7890898815.

The spelling of 133267680 in words is "one hundred thirty-three million, two hundred sixty-seven thousand, six hundred eighty".