133854336 has 256 divisors, whose sum is σ = 493516800. Its totient is φ = 34698240.

The previous prime is 133854307. The next prime is 133854353. The reversal of 133854336 is 633458331.

133854336 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 133854336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265861 + ... + 266363.

It is an arithmetic number, because the mean of its divisors is an integer number (1927800).

Almost surely, 2^133854336 is an apocalyptic number.

133854336 is a gapful number since it is divisible by the number (16) 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 133854336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246758400).

133854336 is an abundant number, since it is smaller than the sum of its proper divisors (359662464).

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

133854336 is a wasteful number, since it uses less digits than its factorization.

133854336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 526 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 133854336 is about 11569.5434654959. The cubic root of 133854336 is about 511.5375055272.

The spelling of 133854336 in words is "one hundred thirty-three million, eight hundred fifty-four thousand, three hundred thirty-six".