142151430168 has 480 divisors, whose sum is σ = 452586657600. Its totient is φ = 41632081920.

The previous prime is 142151430143. The next prime is 142151430227. The reversal of 142151430168 is 861034151241.

142151430168 is a `hidden beast` number, since 1 + 4 + 215 + 1 + 430 + 1 + 6 + 8 = 666.

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

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 328294080 + ... + 328294512.

It is an arithmetic number, because the mean of its divisors is an integer number (942888870).

Almost surely, 2^142151430168 is an apocalyptic number.

142151430168 is a gapful number since it is divisible by the number (18) 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 142151430168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226293328800).

142151430168 is an abundant number, since it is smaller than the sum of its proper divisors (310435227432).

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

142151430168 is a wasteful number, since it uses less digits than its factorization.

142151430168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 142151430168 in words is "one hundred forty-two billion, one hundred fifty-one million, four hundred thirty thousand, one hundred sixty-eight".