133896224 has 96 divisors (see below), whose sum is σ = 335664000. Its totient is φ = 52120320.

The previous prime is 133896209. The next prime is 133896239. The reversal of 133896224 is 422698331.

It is an interprime number because it is at equal distance from previous prime (133896209) and next prime (133896239).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120182 + ... + 121290.

It is an arithmetic number, because the mean of its divisors is an integer number (3496500).

Almost surely, 2^133896224 is an apocalyptic number.

133896224 is a gapful number since it is divisible by the number (14) 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 133896224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167832000).

133896224 is an abundant number, since it is smaller than the sum of its proper divisors (201767776).

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

133896224 is a wasteful number, since it uses less digits than its factorization.

133896224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1129 counting only the distinct ones).

The product of its digits is 62208, while the sum is 38.

The square root of 133896224 is about 11571.3535941134. The cubic root of 133896224 is about 511.5908596656.

The spelling of 133896224 in words is "one hundred thirty-three million, eight hundred ninety-six thousand, two hundred twenty-four".