133880448 has 96 divisors (see below), whose sum is σ = 385266240. Its totient is φ = 41174016.

The previous prime is 133880437. The next prime is 133880473. The reversal of 133880448 is 844088331.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×133880448³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nialpdrome in base 8.

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, 63865 + ... + 65927.

It is an arithmetic number, because the mean of its divisors is an integer number (4013190).

Almost surely, 2^133880448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133880448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192633120).

133880448 is an abundant number, since it is smaller than the sum of its proper divisors (251385792).

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

133880448 is a wasteful number, since it uses less digits than its factorization.

133880448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106 (or 2081 counting only the distinct ones).

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

The square root of 133880448 is about 11570.6718906034. The cubic root of 133880448 is about 511.5707665563.

The spelling of 133880448 in words is "one hundred thirty-three million, eight hundred eighty thousand, four hundred forty-eight".