142800301728 has 360 divisors, whose sum is σ = 489911152500. Its totient is φ = 40685524992.

The previous prime is 142800301727. The next prime is 142800301739. The reversal of 142800301728 is 827103008241.

142800301728 is a `hidden beast` number, since 1 + 4 + 280 + 0 + 301 + 72 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 142693551504 + 106750224 = 377748^2 + 10332^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 142800301692 and 142800301701.

It is not an unprimeable number, because it can be changed into a prime (142800301727) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 51944898 + ... + 51947646.

Almost surely, 2^142800301728 is an apocalyptic number.

142800301728 is a gapful number since it is divisible by the number (18) 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 142800301728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244955576250).

142800301728 is an abundant number, since it is smaller than the sum of its proper divisors (347110850772).

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

142800301728 is a wasteful number, since it uses less digits than its factorization.

142800301728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3194 (or 3170 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Adding to 142800301728 its reverse (827103008241), we get a palindrome (969903309969).

The spelling of 142800301728 in words is "one hundred forty-two billion, eight hundred million, three hundred one thousand, seven hundred twenty-eight".