142520829268896 has 864 divisors, whose sum is σ = 474016971093120. Its totient is φ = 40448392298496.

The previous prime is 142520829268841. The next prime is 142520829268931. The reversal of 142520829268896 is 698862928025241.

142520829268896 is a `hidden beast` number, since 1 + 4 + 2 + 520 + 8 + 2 + 9 + 2 + 6 + 8 + 8 + 96 = 666.

142520829268896 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 16451667061 + ... + 16451675723.

It is an arithmetic number, because the mean of its divisors is an integer number (548630753580).

Almost surely, 2^{142520829268896} is an apocalyptic number.

142520829268896 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 142520829268896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237008485546560).

142520829268896 is an abundant number, since it is smaller than the sum of its proper divisors (331496141824224).

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

142520829268896 is a wasteful number, since it uses less digits than its factorization.

142520829268896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9118 (or 9094 counting only the distinct ones).

The product of its (nonzero) digits is 477757440, while the sum is 72.

The spelling of 142520829268896 in words is "one hundred forty-two trillion, five hundred twenty billion, eight hundred twenty-nine million, two hundred sixty-eight thousand, eight hundred ninety-six".