133328448 has 126 divisors (see below), whose sum is σ = 420281862. Its totient is φ = 40381440.

The previous prime is 133328431. The next prime is 133328479. The reversal of 133328448 is 844823331.

It is a happy number.

133328448 is a `hidden beast` number, since 1 + 333 + 284 + 48 = 666.

It can be written as a sum of positive squares in only one way, i.e., 128867904 + 4460544 = 11352^2 + 2112^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 68740 + ... + 70652.

Almost surely, 2^133328448 is an apocalyptic number.

133328448 is a gapful number since it is divisible by the number (18) 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 133328448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210140931).

133328448 is an abundant number, since it is smaller than the sum of its proper divisors (286953414).

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

133328448 is a wasteful number, since it uses less digits than its factorization.

133328448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1953 (or 1929 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 133328448 is about 11546.7938407161. The cubic root of 133328448 is about 510.8667153911.

The spelling of 133328448 in words is "one hundred thirty-three million, three hundred twenty-eight thousand, four hundred forty-eight".