33142120 has 32 divisors (see below), whose sum is σ = 81349920. Its totient is φ = 12051520.

The previous prime is 33142117. The next prime is 33142133. The reversal of 33142120 is 2124133.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 33142094 and 33142103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37222 + ... + 38101.

It is an arithmetic number, because the mean of its divisors is an integer number (2542185).

Almost surely, 2^33142120 is an apocalyptic number.

It is an amenable number.

33142120 is an abundant number, since it is smaller than the sum of its proper divisors (48207800).

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

33142120 is a wasteful number, since it uses less digits than its factorization.

33142120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75345 (or 75341 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 33142120 is about 5756.9193150504. The cubic root of 33142120 is about 321.2132329343.

Adding to 33142120 its reverse (2124133), we get a palindrome (35266253).

The spelling of 33142120 in words is "thirty-three million, one hundred forty-two thousand, one hundred twenty".