142434196128 has 576 divisors, whose sum is σ = 502146957312. Its totient is φ = 37404702720.

The previous prime is 142434196109. The next prime is 142434196129. The reversal of 142434196128 is 821691434241.

142434196128 is a `hidden beast` number, since 1 + 4 + 2 + 434 + 1 + 96 + 128 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (142434196129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 283169125 + ... + 283169627.

It is an arithmetic number, because the mean of its divisors is an integer number (871782912).

Almost surely, 2^142434196128 is an apocalyptic number.

142434196128 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 142434196128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251073478656).

142434196128 is an abundant number, since it is smaller than the sum of its proper divisors (359712761184).

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

142434196128 is a wasteful number, since it uses less digits than its factorization.

142434196128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 766 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 142434196128 in words is "one hundred forty-two billion, four hundred thirty-four million, one hundred ninety-six thousand, one hundred twenty-eight".