133142120 has 64 divisors (see below), whose sum is σ = 317088000. Its totient is φ = 50174208.

The previous prime is 133142081. The next prime is 133142143. The reversal of 133142120 is 21241331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181274 + ... + 182006.

It is an arithmetic number, because the mean of its divisors is an integer number (4954500).

Almost surely, 2^133142120 is an apocalyptic number.

133142120 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 133142120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158544000).

133142120 is an abundant number, since it is smaller than the sum of its proper divisors (183945880).

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

133142120 is a wasteful number, since it uses less digits than its factorization.

133142120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 133142120 is about 11538.7226329434. The cubic root of 133142120 is about 510.6286237918.

Adding to 133142120 its reverse (21241331), we get a palindrome (154383451).

The spelling of 133142120 in words is "one hundred thirty-three million, one hundred forty-two thousand, one hundred twenty".