133824096 has 288 divisors, whose sum is σ = 474012000. Its totient is φ = 36578304.

The previous prime is 133824083. The next prime is 133824101. The reversal of 133824096 is 690428331.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 133824096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1227690 + ... + 1227798.

It is an arithmetic number, because the mean of its divisors is an integer number (1645875).

Almost surely, 2^133824096 is an apocalyptic number.

133824096 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 133824096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237006000).

133824096 is an abundant number, since it is smaller than the sum of its proper divisors (340187904).

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

133824096 is a wasteful number, since it uses less digits than its factorization.

133824096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 133824096 is about 11568.2365121050. The cubic root of 133824096 is about 511.4989809149.

The spelling of 133824096 in words is "one hundred thirty-three million, eight hundred twenty-four thousand, ninety-six".