133893216 has 96 divisors (see below), whose sum is σ = 403200000. Its totient is φ = 43182720.

The previous prime is 133893197. The next prime is 133893233. The reversal of 133893216 is 612398331.

It is a tau number, because it is divible by the number of its divisors (96).

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24285 + ... + 29283.

It is an arithmetic number, because the mean of its divisors is an integer number (4200000).

Almost surely, 2^133893216 is an apocalyptic number.

133893216 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 133893216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201600000).

133893216 is an abundant number, since it is smaller than the sum of its proper divisors (269306784).

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

133893216 is a wasteful number, since it uses less digits than its factorization.

133893216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5049 (or 5035 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 133893216 is about 11571.2236172325. The cubic root of 133893216 is about 511.5870286468.

The spelling of 133893216 in words is "one hundred thirty-three million, eight hundred ninety-three thousand, two hundred sixteen".