142128504558756 has 81 divisors (see below), whose sum is σ = 362615455016451. Its totient is φ = 46938949339968.

The previous prime is 142128504558739. The next prime is 142128504558779. The reversal of 142128504558756 is 657855405821241.

The square root of 142128504558756 is 11921766.

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

142128504558756 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 2 + 8 + 5 + 0 + 4 + 558 + 75 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 95145705198756 + 46982799360000 = 9754266^2 + 6854400^2 .

It is a junction number, because it is equal to n+sod(n) for n = 142128504558693 and 142128504558702.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7796825850 + ... + 7796844078.

Almost surely, 2^{142128504558756} is an apocalyptic number.

142128504558756 is the 11921766-th square number.

It is an amenable number.

142128504558756 is an abundant number, since it is smaller than the sum of its proper divisors (220486950457695).

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

142128504558756 is an frugal number, since it uses more digits than its factorization.

142128504558756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36686 (or 18343 counting only the distinct ones).

The product of its (nonzero) digits is 107520000, while the sum is 63.

The spelling of 142128504558756 in words is "one hundred forty-two trillion, one hundred twenty-eight billion, five hundred four million, five hundred fifty-eight thousand, seven hundred fifty-six".