142560800256 has 320 divisors, whose sum is σ = 451128268800. Its totient is φ = 39142096896.

The previous prime is 142560800243. The next prime is 142560800257. The reversal of 142560800256 is 652008065241.

It is a super-2 number, since 2×142560800256² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142560800257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74521156 + ... + 74523068.

It is an arithmetic number, because the mean of its divisors is an integer number (1409775840).

Almost surely, 2^142560800256 is an apocalyptic number.

142560800256 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 142560800256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225564134400).

142560800256 is an abundant number, since it is smaller than the sum of its proper divisors (308567468544).

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

142560800256 is a wasteful number, since it uses less digits than its factorization.

142560800256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2209 (or 2193 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

Adding to 142560800256 its reverse (652008065241), we get a palindrome (794568865497).

The spelling of 142560800256 in words is "one hundred forty-two billion, five hundred sixty million, eight hundred thousand, two hundred fifty-six".