142507255968 has 288 divisors, whose sum is σ = 506902136832. Its totient is φ = 36894067200.

The previous prime is 142507255949. The next prime is 142507255981. The reversal of 142507255968 is 869552705241.

142507255968 is a `hidden beast` number, since 1 + 4 + 2 + 507 + 25 + 59 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 6886405 + ... + 6907067.

It is an arithmetic number, because the mean of its divisors is an integer number (1760076864).

Almost surely, 2^142507255968 is an apocalyptic number.

142507255968 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 142507255968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253451068416).

142507255968 is an abundant number, since it is smaller than the sum of its proper divisors (364394880864).

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

142507255968 is a wasteful number, since it uses less digits than its factorization.

142507255968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21008 (or 20997 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 142507255968 in words is "one hundred forty-two billion, five hundred seven million, two hundred fifty-five thousand, nine hundred sixty-eight".