133884480 has 112 divisors (see below), whose sum is σ = 430133760. Its totient is φ = 35278848.

The previous prime is 133884473. The next prime is 133884481. The reversal of 133884480 is 84488331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133884481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84657 + ... + 86223.

It is an arithmetic number, because the mean of its divisors is an integer number (3840480).

Almost surely, 2^133884480 is an apocalyptic number.

133884480 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 133884480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215066880).

133884480 is an abundant number, since it is smaller than the sum of its proper divisors (296249280).

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

133884480 is a wasteful number, since it uses less digits than its factorization.

133884480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 133884480 is about 11570.8461229073. The cubic root of 133884480 is about 511.5759020650.

The spelling of 133884480 in words is "one hundred thirty-three million, eight hundred eighty-four thousand, four hundred eighty".