142351305120 has 192 divisors, whose sum is σ = 504381790080. Its totient is φ = 37960254720.

The previous prime is 142351305113. The next prime is 142351305149. The reversal of 142351305120 is 21503153241.

142351305120 is a `hidden beast` number, since 1 + 4 + 2 + 351 + 305 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 146515 + ... + 553325.

It is an arithmetic number, because the mean of its divisors is an integer number (2626988490).

Almost surely, 2^142351305120 is an apocalyptic number.

142351305120 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 142351305120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252190895040).

142351305120 is an abundant number, since it is smaller than the sum of its proper divisors (362030484960).

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

142351305120 is an frugal number, since it uses more digits than its factorization.

142351305120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406847 (or 406821 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 142351305120 its reverse (21503153241), we get a palindrome (163854458361).

The spelling of 142351305120 in words is "one hundred forty-two billion, three hundred fifty-one million, three hundred five thousand, one hundred twenty".