133553120 has 96 divisors (see below), whose sum is σ = 330674400. Its totient is φ = 50907136.

The previous prime is 133553107. The next prime is 133553129. The reversal of 133553120 is 21355331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133553129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 496346 + ... + 496614.

It is an arithmetic number, because the mean of its divisors is an integer number (3444525).

Almost surely, 2^133553120 is an apocalyptic number.

133553120 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 133553120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165337200).

133553120 is an abundant number, since it is smaller than the sum of its proper divisors (197121280).

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

133553120 is a wasteful number, since it uses less digits than its factorization.

133553120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 23.

The square root of 133553120 is about 11556.5185068861. The cubic root of 133553120 is about 511.1535084903.

The spelling of 133553120 in words is "one hundred thirty-three million, five hundred fifty-three thousand, one hundred twenty".