33142080 has 224 divisors, whose sum is σ = 117043200. Its totient is φ = 7907328.

The previous prime is 33141989. The next prime is 33142091. The reversal of 33142080 is 8024133.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 419481 + ... + 419559.

Almost surely, 2^33142080 is an apocalyptic number.

33142080 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 33142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58521600).

33142080 is an abundant number, since it is smaller than the sum of its proper divisors (83901120).

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

33142080 is a wasteful number, since it uses less digits than its factorization.

33142080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 33142080 is about 5756.9158409690. The cubic root of 33142080 is about 321.2131037077.

The spelling of 33142080 in words is "thirty-three million, one hundred forty-two thousand, eighty".