142096768200 has 288 divisors, whose sum is σ = 488565604800. Its totient is φ = 36999360000.

The previous prime is 142096768199. The next prime is 142096768213. The reversal of 142096768200 is 2867690241.

It is a happy number.

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 71 ways as a sum of consecutive naturals, for example, 16031770 + ... + 16040630.

It is an arithmetic number, because the mean of its divisors is an integer number (1696408350).

Almost surely, 2^142096768200 is an apocalyptic number.

142096768200 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 142096768200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244282802400).

142096768200 is an abundant number, since it is smaller than the sum of its proper divisors (346468836600).

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

142096768200 is a wasteful number, since it uses less digits than its factorization.

142096768200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9093 (or 9081 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 142096768200 in words is "one hundred forty-two billion, ninety-six million, seven hundred sixty-eight thousand, two hundred".