133447680 has 180 divisors, whose sum is σ = 465160332. Its totient is φ = 35389440.

The previous prime is 133447673. The next prime is 133447703. The reversal of 133447680 is 86744331.

133447680 is a `hidden beast` number, since 133 + 447 + 6 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17842176 + 115605504 = 4224^2 + 10752^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 737190 + ... + 737370.

Almost surely, 2^133447680 is an apocalyptic number.

133447680 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 133447680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232580166).

133447680 is an abundant number, since it is smaller than the sum of its proper divisors (331712652).

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

133447680 is an equidigital number, since it uses as much as digits as its factorization.

133447680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 133447680 is about 11551.9556785853. The cubic root of 133447680 is about 511.0189547492.

The spelling of 133447680 in words is "one hundred thirty-three million, four hundred forty-seven thousand, six hundred eighty".