142864167220200 has 1536 divisors, whose sum is σ = 546007910400000. Its totient is φ = 34189740748800.

The previous prime is 142864167220189. The next prime is 142864167220211. The reversal of 142864167220200 is 2022761468241.

142864167220200 is a `hidden beast` number, since 1 + 4 + 2 + 8 + 6 + 416 + 7 + 2 + 20 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (142864167220189) and next prime (142864167220211).

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 99280171081 + ... + 99280172519.

It is an arithmetic number, because the mean of its divisors is an integer number (355473900000).

Almost surely, 2^{142864167220200} is an apocalyptic number.

142864167220200 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 142864167220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273003955200000).

142864167220200 is an abundant number, since it is smaller than the sum of its proper divisors (403143743179800).

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

142864167220200 is a wasteful number, since it uses less digits than its factorization.

142864167220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 142864167220200 in words is "one hundred forty-two trillion, eight hundred sixty-four billion, one hundred sixty-seven million, two hundred twenty thousand, two hundred".