133486080 has 320 divisors, whose sum is σ = 527966208. Its totient is φ = 28016640.

The previous prime is 133486069. The next prime is 133486081. The reversal of 133486080 is 80684331.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133486081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 698785 + ... + 698975.

Almost surely, 2^133486080 is an apocalyptic number.

133486080 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 133486080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263983104).

133486080 is an abundant number, since it is smaller than the sum of its proper divisors (394480128).

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

133486080 is a wasteful number, since it uses less digits than its factorization.

133486080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 133486080 is about 11553.6176152753. The cubic root of 133486080 is about 511.0679658322.

The spelling of 133486080 in words is "one hundred thirty-three million, four hundred eighty-six thousand, eighty".