133418448 has 160 divisors (see below), whose sum is σ = 417294720. Its totient is φ = 40642560.

The previous prime is 133418419. The next prime is 133418459. The reversal of 133418448 is 844814331.

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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271483 + ... + 271973.

It is an arithmetic number, because the mean of its divisors is an integer number (2608092).

Almost surely, 2^133418448 is an apocalyptic number.

133418448 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 133418448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208647360).

133418448 is an abundant number, since it is smaller than the sum of its proper divisors (283876272).

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

133418448 is a wasteful number, since it uses less digits than its factorization.

133418448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 550 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 133418448 is about 11550.6903689780. The cubic root of 133418448 is about 510.9816387590.

The spelling of 133418448 in words is "one hundred thirty-three million, four hundred eighteen thousand, four hundred forty-eight".