142236444800 has 216 divisors, whose sum is σ = 360615847215. Its totient is φ = 55435304960.

The previous prime is 142236444799. The next prime is 142236444809. The reversal of 142236444800 is 8444632241.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 10916416 + 142225528384 = 3304^2 + 377128^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=266680.

It is not an unprimeable number, because it can be changed into a prime (142236444809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1258729544 + ... + 1258729656.

Almost surely, 2^142236444800 is an apocalyptic number.

142236444800 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 142236444800

142236444800 is an abundant number, since it is smaller than the sum of its proper divisors (218379402415).

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

142236444800 is an frugal number, since it uses more digits than its factorization.

142236444800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 38.

The spelling of 142236444800 in words is "one hundred forty-two billion, two hundred thirty-six million, four hundred forty-four thousand, eight hundred".