142520728896 has 1008 divisors, whose sum is σ = 551040903504. Its totient is φ = 34780741632.

The previous prime is 142520728871. The next prime is 142520728901. The reversal of 142520728896 is 698827025241.

142520728896 is a `hidden beast` number, since 1 + 4 + 2 + 520 + 7 + 28 + 8 + 96 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 18289857600 + 124230871296 = 135240^2 + 352464^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 455337636 + ... + 455337948.

It is an arithmetic number, because the mean of its divisors is an integer number (546667563).

Almost surely, 2^142520728896 is an apocalyptic number.

142520728896 is a gapful number since it is divisible by the number (16) 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 142520728896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275520451752).

142520728896 is an abundant number, since it is smaller than the sum of its proper divisors (408520174608).

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

142520728896 is a wasteful number, since it uses less digits than its factorization.

142520728896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 142520728896 in words is "one hundred forty-two billion, five hundred twenty million, seven hundred twenty-eight thousand, eight hundred ninety-six".