142861575112200 has 768 divisors, whose sum is σ = 563641638912000. Its totient is φ = 32580662400000.

The previous prime is 142861575112199. The next prime is 142861575112307. The reversal of 142861575112200 is 2211575168241.

142861575112200 is a `hidden beast` number, since 1 + 4 + 2 + 8 + 61 + 57 + 511 + 2 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 49934138770 + ... + 49934141630.

It is an arithmetic number, because the mean of its divisors is an integer number (733908384000).

Almost surely, 2^{142861575112200} is an apocalyptic number.

142861575112200 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 142861575112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281820819456000).

142861575112200 is an abundant number, since it is smaller than the sum of its proper divisors (420780063799800).

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

142861575112200 is a wasteful number, since it uses less digits than its factorization.

142861575112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5403 (or 5388 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 142861575112200 in words is "one hundred forty-two trillion, eight hundred sixty-one billion, five hundred seventy-five million, one hundred twelve thousand, two hundred".