133584480 has 72 divisors (see below), whose sum is σ = 455861952. Its totient is φ = 35622144.

The previous prime is 133584361. The next prime is 133584491. The reversal of 133584480 is 84485331.

133584480 is a `hidden beast` number, since 1 + 33 + 584 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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, 44944 + ... + 47823.

It is an arithmetic number, because the mean of its divisors is an integer number (6331416).

Almost surely, 2^133584480 is an apocalyptic number.

133584480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133584480 is an abundant number, since it is smaller than the sum of its proper divisors (322277472).

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

133584480 is a wasteful number, since it uses less digits than its factorization.

133584480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92788 (or 92777 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 133584480 is about 11557.8752372571. The cubic root of 133584480 is about 511.1935138442.

The spelling of 133584480 in words is "one hundred thirty-three million, five hundred eighty-four thousand, four hundred eighty".