142724229120 has 480 divisors, whose sum is σ = 558109712160. Its totient is φ = 34597601280.

The previous prime is 142724229107. The next prime is 142724229149. The reversal of 142724229120 is 21922427241.

142724229120 is a `hidden beast` number, since 1 + 42 + 72 + 422 + 9 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9116019 + ... + 9131661.

It is an arithmetic number, because the mean of its divisors is an integer number (1162728567).

Almost surely, 2^142724229120 is an apocalyptic number.

142724229120 is a gapful number since it is divisible by the number (10) 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 142724229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279054856080).

142724229120 is an abundant number, since it is smaller than the sum of its proper divisors (415385483040).

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

142724229120 is a wasteful number, since it uses less digits than its factorization.

142724229120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15693 (or 15664 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 142724229120 in words is "one hundred forty-two billion, seven hundred twenty-four million, two hundred twenty-nine thousand, one hundred twenty".