133844480 has 240 divisors, whose sum is σ = 411442416. Its totient is φ = 41287680.

The previous prime is 133844467. The next prime is 133844497. The reversal of 133844480 is 84448331.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 133844480.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1379792 + ... + 1379888.

Almost surely, 2^133844480 is an apocalyptic number.

133844480 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 133844480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205721208).

133844480 is an abundant number, since it is smaller than the sum of its proper divisors (277597936).

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

133844480 is an equidigital number, since it uses as much as digits as its factorization.

133844480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 133844480 is about 11569.1175117206. The cubic root of 133844480 is about 511.5249499947.

The spelling of 133844480 in words is "one hundred thirty-three million, eight hundred forty-four thousand, four hundred eighty".