142114963536 has 960 divisors, whose sum is σ = 536765644800. Its totient is φ = 35188328448.

The previous prime is 142114963519. The next prime is 142114963567. The reversal of 142114963536 is 635369411241.

142114963536 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 1 + 4 + 9 + 635 + 3 + 6 = 666.

Its product of digits (466560) is a multiple of the sum of its prime divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 142114963491 and 142114963500.

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 191 ways as a sum of consecutive naturals, for example, 637286721 + ... + 637286943.

It is an arithmetic number, because the mean of its divisors is an integer number (559130880).

Almost surely, 2^142114963536 is an apocalyptic number.

142114963536 is a gapful number since it is divisible by the number (16) 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 142114963536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268382822400).

142114963536 is an abundant number, since it is smaller than the sum of its proper divisors (394650681264).

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

142114963536 is a wasteful number, since it uses less digits than its factorization.

142114963536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 320 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The spelling of 142114963536 in words is "one hundred forty-two billion, one hundred fourteen million, nine hundred sixty-three thousand, five hundred thirty-six".