33142002320 has 160 divisors (see below), whose sum is σ = 92311591680. Its totient is φ = 10827694080.

The previous prime is 33142002287. The next prime is 33142002349. The reversal of 33142002320 is 2320024133.

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 = 33142002292 and 33142002301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 970496 + ... + 1004064.

It is an arithmetic number, because the mean of its divisors is an integer number (576947448).

Almost surely, 2^33142002320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33142002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46155795840).

33142002320 is an abundant number, since it is smaller than the sum of its proper divisors (59169589360).

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

33142002320 is a wasteful number, since it uses less digits than its factorization.

33142002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33673 (or 33667 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 33142002320 its reverse (2320024133), we get a palindrome (35462026453).

The spelling of 33142002320 in words is "thirty-three billion, one hundred forty-two million, two thousand, three hundred twenty".