142300800 has 336 divisors, whose sum is σ = 535690230. Its totient is φ = 37324800.

The previous prime is 142300777. The next prime is 142300801. The reversal of 142300800 is 8003241.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 63872064 + 78428736 = 7992^2 + 8856^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (142300801) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 2332770 + ... + 2332830.

Almost surely, 2^142300800 is an apocalyptic number.

142300800 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 142300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267845115).

142300800 is an abundant number, since it is smaller than the sum of its proper divisors (393389430).

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

142300800 is an frugal number, since it uses more digits than its factorization.

142300800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 142300800 is about 11928.9898985622. The cubic root of 142300800 is about 522.0784662069.

The spelling of 142300800 in words is "one hundred forty-two million, three hundred thousand, eight hundred".