133133120 has 56 divisors (see below), whose sum is σ = 335685384. Its totient is φ = 50118656.

The previous prime is 133133107. The next prime is 133133123. The reversal of 133133120 is 21331331.

It can be written as a sum of positive squares in 4 ways, for example, as 45373696 + 87759424 = 6736^2 + 9368^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133133123) 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, 6797 + ... + 17676.

Almost surely, 2^133133120 is an apocalyptic number.

133133120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133133120 is an abundant number, since it is smaller than the sum of its proper divisors (202552264).

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

133133120 is a wasteful number, since it uses less digits than its factorization.

133133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24507 (or 24497 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 133133120 is about 11538.3326351774. The cubic root of 133133120 is about 510.6171178883.

Adding to 133133120 its reverse (21331331), we get a palindrome (154464451).

The spelling of 133133120 in words is "one hundred thirty-three million, one hundred thirty-three thousand, one hundred twenty".