133755120 has 240 divisors, whose sum is σ = 482594112. Its totient is φ = 33116160.

The previous prime is 133755109. The next prime is 133755121. The reversal of 133755120 is 21557331.

It is a tau number, because it is divible by the number of its divisors (240).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133755121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 678862 + ... + 679058.

Almost surely, 2^133755120 is an apocalyptic number.

133755120 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 133755120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241297056).

133755120 is an abundant number, since it is smaller than the sum of its proper divisors (348838992).

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

133755120 is a wasteful number, since it uses less digits than its factorization.

133755120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 133755120 is about 11565.2548610050. The cubic root of 133755120 is about 511.4110863875.

The spelling of 133755120 in words is "one hundred thirty-three million, seven hundred fifty-five thousand, one hundred twenty".