33142140 has 72 divisors (see below), whose sum is σ = 101582208. Its totient is φ = 8745600.

The previous prime is 33142133. The next prime is 33142141. The reversal of 33142140 is 4124133.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33142141) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 17269 + ... + 19091.

It is an arithmetic number, because the mean of its divisors is an integer number (1410864).

Almost surely, 2^33142140 is an apocalyptic number.

33142140 is a gapful number since it is divisible by the number (30) 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 33142140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50791104).

33142140 is an abundant number, since it is smaller than the sum of its proper divisors (68440068).

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

33142140 is a wasteful number, since it uses less digits than its factorization.

33142140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 33142140 is about 5756.9210520903. The cubic root of 33142140 is about 321.2132975476.

Adding to 33142140 its reverse (4124133), we get a palindrome (37266273).

The spelling of 33142140 in words is "thirty-three million, one hundred forty-two thousand, one hundred forty".