142066800 has 360 divisors, whose sum is σ = 543695360. Its totient is φ = 34214400.

The previous prime is 142066783. The next prime is 142066843. The reversal of 142066800 is 8660241.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 2120367 + ... + 2120433.

Almost surely, 2^142066800 is an apocalyptic number.

142066800 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 142066800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271847680).

142066800 is an abundant number, since it is smaller than the sum of its proper divisors (401628560).

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

142066800 is a wasteful number, since it uses less digits than its factorization.

142066800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 142066800 is about 11919.1778239944. The cubic root of 142066800 is about 521.7921399038.

The spelling of 142066800 in words is "one hundred forty-two million, sixty-six thousand, eight hundred".