133455680 has 112 divisors (see below), whose sum is σ = 334944720. Its totient is φ = 50577408.

The previous prime is 133455671. The next prime is 133455691. The reversal of 133455680 is 86554331.

It can be written as a sum of positive squares in 8 ways, for example, as 11397376 + 122058304 = 3376^2 + 11048^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 133455680.

It is a congruent number.

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, 677342 + ... + 677538.

Almost surely, 2^133455680 is an apocalyptic number.

133455680 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 133455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167472360).

133455680 is an abundant number, since it is smaller than the sum of its proper divisors (201489040).

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

133455680 is a wasteful number, since it uses less digits than its factorization.

133455680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The square root of 133455680 is about 11552.3019351123. The cubic root of 133455680 is about 511.0291661668.

The spelling of 133455680 in words is "one hundred thirty-three million, four hundred fifty-five thousand, six hundred eighty".