133784080 has 20 divisors (see below), whose sum is σ = 311048172. Its totient is φ = 53513600.

The previous prime is 133784071. The next prime is 133784081. The reversal of 133784080 is 80487331.

It can be written as a sum of positive squares in 2 ways, for example, as 21678336 + 112105744 = 4656^2 + 10588^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×133784080² = 35796360122892800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133784081) 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 3 ways as a sum of consecutive naturals, for example, 836071 + ... + 836230.

Almost surely, 2^133784080 is an apocalyptic number.

133784080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133784080 is an abundant number, since it is smaller than the sum of its proper divisors (177264092).

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

133784080 is a wasteful number, since it uses less digits than its factorization.

133784080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672314 (or 1672308 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 133784080 is about 11566.5068192605. The cubic root of 133784080 is about 511.4479931274.

The spelling of 133784080 in words is "one hundred thirty-three million, seven hundred eighty-four thousand, eighty".