142185661128 has 192 divisors, whose sum is σ = 455687856000. Its totient is φ = 39188007936.

The previous prime is 142185661067. The next prime is 142185661133. The reversal of 142185661128 is 821166581241.

142185661128 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 8 + 5 + 6 + 611 + 28 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18836251 + ... + 18843797.

It is an arithmetic number, because the mean of its divisors is an integer number (2373374250).

Almost surely, 2^142185661128 is an apocalyptic number.

142185661128 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 142185661128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227843928000).

142185661128 is an abundant number, since it is smaller than the sum of its proper divisors (313502194872).

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

142185661128 is a wasteful number, since it uses less digits than its factorization.

142185661128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8884 (or 8877 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The spelling of 142185661128 in words is "one hundred forty-two billion, one hundred eighty-five million, six hundred sixty-one thousand, one hundred twenty-eight".