133893120 has 176 divisors, whose sum is σ = 448047360. Its totient is φ = 34062336.

The previous prime is 133893091. The next prime is 133893131. The reversal of 133893120 is 21398331.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 353091 + ... + 353469.

Almost surely, 2^133893120 is an apocalyptic number.

133893120 is a gapful number since it is divisible by the number (10) 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 133893120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224023680).

133893120 is an abundant number, since it is smaller than the sum of its proper divisors (314154240).

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

133893120 is a wasteful number, since it uses less digits than its factorization.

133893120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 133893120 is about 11571.2194690102. The cubic root of 133893120 is about 511.5869063793.

The spelling of 133893120 in words is "one hundred thirty-three million, eight hundred ninety-three thousand, one hundred twenty".