142563200 has 192 divisors, whose sum is σ = 398412000. Its totient is φ = 50012160.

The previous prime is 142563193. The next prime is 142563209. The reversal of 142563200 is 2365241.

142563200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142563209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 956726 + ... + 956874.

Almost surely, 2^142563200 is an apocalyptic number.

142563200 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 142563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199206000).

142563200 is an abundant number, since it is smaller than the sum of its proper divisors (255848800).

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

142563200 is a wasteful number, since it uses less digits than its factorization.

142563200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 142563200 is about 11939.9832495695. The cubic root of 142563200 is about 522.3991701225.

The spelling of 142563200 in words is "one hundred forty-two million, five hundred sixty-three thousand, two hundred".