142252800 has 216 divisors, whose sum is σ = 486635520. Its totient is φ = 36556800.

The previous prime is 142252777. The next prime is 142252811. The reversal of 142252800 is 8252241.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 595081 + ... + 595319.

Almost surely, 2^142252800 is an apocalyptic number.

142252800 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 142252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243317760).

142252800 is an abundant number, since it is smaller than the sum of its proper divisors (344382720).

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

142252800 is a wasteful number, since it uses less digits than its factorization.

142252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 142252800 is about 11926.9778234052. The cubic root of 142252800 is about 522.0197582104.

The spelling of 142252800 in words is "one hundred forty-two million, two hundred fifty-two thousand, eight hundred".