133325120 has 56 divisors (see below), whose sum is σ = 318616584. Its totient is φ = 53139456.

The previous prime is 133325113. The next prime is 133325123. The reversal of 133325120 is 21523331.

133325120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 430336 + 132894784 = 656^2 + 11528^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 133325092 and 133325101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133325123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118802 + ... + 119918.

Almost surely, 2^133325120 is an apocalyptic number.

133325120 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 133325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159308292).

133325120 is an abundant number, since it is smaller than the sum of its proper divisors (185291464).

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

133325120 is a wasteful number, since it uses less digits than its factorization.

133325120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 133325120 is about 11546.6497305496. The cubic root of 133325120 is about 510.8624647890.

Adding to 133325120 its reverse (21523331), we get a palindrome (154848451).

The spelling of 133325120 in words is "one hundred thirty-three million, three hundred twenty-five thousand, one hundred twenty".