142028474704900 has 243 divisors, whose sum is σ = 364624827765471. Its totient is φ = 47880029232000.

The previous prime is 142028474704889. The next prime is 142028474704969. The reversal of 142028474704900 is 9407474820241.

The square root of 142028474704900 is 11917570.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 65420888069124 + 76607586635776 = 8088318^2 + 8752576^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 50888022505 + ... + 50888025295.

Almost surely, 2^{142028474704900} is an apocalyptic number.

142028474704900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

142028474704900 is the 11917570-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142028474704900

142028474704900 is an abundant number, since it is smaller than the sum of its proper divisors (222596353060571).

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

142028474704900 is an frugal number, since it uses more digits than its factorization.

142028474704900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5732 (or 2866 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 52.

The spelling of 142028474704900 in words is "one hundred forty-two trillion, twenty-eight billion, four hundred seventy-four million, seven hundred four thousand, nine hundred".