142457882112 has 960 divisors, whose sum is σ = 540599685120. Its totient is φ = 36229939200.

The previous prime is 142457882107. The next prime is 142457882153. The reversal of 142457882112 is 211288754241.

142457882112 is a `hidden beast` number, since 1 + 4 + 2 + 457 + 8 + 82 + 112 = 666.

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 95 ways as a sum of consecutive naturals, for example, 506967412 + ... + 506967692.

It is an arithmetic number, because the mean of its divisors is an integer number (563124672).

Almost surely, 2^142457882112 is an apocalyptic number.

142457882112 is a gapful number since it is divisible by the number (12) 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 142457882112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270299842560).

142457882112 is an abundant number, since it is smaller than the sum of its proper divisors (398141803008).

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

142457882112 is a wasteful number, since it uses less digits than its factorization.

142457882112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 337 counting only the distinct ones).

The product of its digits is 286720, while the sum is 45.

The spelling of 142457882112 in words is "one hundred forty-two billion, four hundred fifty-seven million, eight hundred eighty-two thousand, one hundred twelve".