142297585920 has 720 divisors, whose sum is σ = 588710263680. Its totient is φ = 32145113088.

The previous prime is 142297585909. The next prime is 142297585987. The reversal of 142297585920 is 29585792241.

142297585920 is a `hidden beast` number, since 1 + 42 + 2 + 9 + 7 + 5 + 8 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 64591539 + ... + 64593741.

It is an arithmetic number, because the mean of its divisors is an integer number (817653144).

Almost surely, 2^142297585920 is an apocalyptic number.

142297585920 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 142297585920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294355131840).

142297585920 is an abundant number, since it is smaller than the sum of its proper divisors (446412677760).

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

142297585920 is an equidigital number, since it uses as much as digits as its factorization.

142297585920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2332 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 142297585920 in words is "one hundred forty-two billion, two hundred ninety-seven million, five hundred eighty-five thousand, nine hundred twenty".