142804800 has 252 divisors, whose sum is σ = 520817856. Its totient is φ = 37094400.

The previous prime is 142804799. The next prime is 142804801. The reversal of 142804800 is 8408241.

It is an interprime number because it is at equal distance from previous prime (142804799) and next prime (142804801).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142804801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 676695 + ... + 676905.

Almost surely, 2^142804800 is an apocalyptic number.

142804800 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 142804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260408928).

142804800 is an abundant number, since it is smaller than the sum of its proper divisors (378013056).

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

142804800 is a wasteful number, since it uses less digits than its factorization.

142804800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 142804800 is about 11950.0962339221. The cubic root of 142804800 is about 522.6941046034.

The spelling of 142804800 in words is "one hundred forty-two million, eight hundred four thousand, eight hundred".