142892800 has 108 divisors (see below), whose sum is σ = 359273880. Its totient is φ = 56258560.

The previous prime is 142892791. The next prime is 142892807. The reversal of 142892800 is 8298241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142892807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 531066 + ... + 531334.

It is an arithmetic number, because the mean of its divisors is an integer number (3326610).

Almost surely, 2^142892800 is an apocalyptic number.

142892800 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 142892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179636940).

142892800 is an abundant number, since it is smaller than the sum of its proper divisors (216381080).

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

142892800 is an equidigital number, since it uses as much as digits as its factorization.

142892800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 142892800 is about 11953.7776455813. Note that the first 3 decimals coincide. The cubic root of 142892800 is about 522.8014484187.

The spelling of 142892800 in words is "one hundred forty-two million, eight hundred ninety-two thousand, eight hundred".