133818048 has 448 divisors, whose sum is σ = 518891520. Its totient is φ = 32845824.

The previous prime is 133818043. The next prime is 133818049. The reversal of 133818048 is 840818331.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is not an unprimeable number, because it can be changed into a prime (133818043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3616686 + ... + 3616722.

It is an arithmetic number, because the mean of its divisors is an integer number (1158240).

Almost surely, 2^133818048 is an apocalyptic number.

133818048 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 133818048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259445760).

133818048 is an abundant number, since it is smaller than the sum of its proper divisors (385073472).

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

133818048 is a wasteful number, since it uses less digits than its factorization.

133818048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 133818048 is about 11567.9751037076. The cubic root of 133818048 is about 511.4912752960.

The spelling of 133818048 in words is "one hundred thirty-three million, eight hundred eighteen thousand, forty-eight".