133448480 has 144 divisors (see below), whose sum is σ = 355336632. Its totient is φ = 47308800.

The previous prime is 133448449. The next prime is 133448509. The reversal of 133448480 is 84844331.

It can be written as a sum of positive squares in 4 ways, for example, as 28344976 + 105103504 = 5324^2 + 10252^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 133448480.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1180904 + ... + 1181016.

Almost surely, 2^133448480 is an apocalyptic number.

133448480 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 133448480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177668316).

133448480 is an abundant number, since it is smaller than the sum of its proper divisors (221888152).

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

133448480 is a wasteful number, since it uses less digits than its factorization.

133448480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 192 counting only the distinct ones).

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

The square root of 133448480 is about 11551.9903047051. The cubic root of 133448480 is about 511.0199759093.

The spelling of 133448480 in words is "one hundred thirty-three million, four hundred forty-eight thousand, four hundred eighty".