142065456000 has 768 divisors, whose sum is σ = 518550439680. Its totient is φ = 34384896000.

The previous prime is 142065455999. The next prime is 142065456007. The reversal of 142065456000 is 654560241.

142065456000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142065456007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 673295895 + ... + 673296105.

It is an arithmetic number, because the mean of its divisors is an integer number (675195885).

Almost surely, 2^142065456000 is an apocalyptic number.

142065456000 is a gapful number since it is divisible by the number (10) 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 142065456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259275219840).

142065456000 is an abundant number, since it is smaller than the sum of its proper divisors (376484983680).

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

142065456000 is a wasteful number, since it uses less digits than its factorization.

142065456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 142065456000 in words is "one hundred forty-two billion, sixty-five million, four hundred fifty-six thousand".