142016676200 has 192 divisors, whose sum is σ = 387419429760. Its totient is φ = 47400837120.

The previous prime is 142016676187. The next prime is 142016676209. The reversal of 142016676200 is 2676610241.

It is a Cunningham number, because it is equal to 376851²-1.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (142016676209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18838832 + ... + 18846368.

It is an arithmetic number, because the mean of its divisors is an integer number (2017809530).

Almost surely, 2^142016676200 is an apocalyptic number.

142016676200 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 142016676200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193709714880).

142016676200 is an abundant number, since it is smaller than the sum of its proper divisors (245402753560).

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

142016676200 is a wasteful number, since it uses less digits than its factorization.

142016676200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7916 (or 7907 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The spelling of 142016676200 in words is "one hundred forty-two billion, sixteen million, six hundred seventy-six thousand, two hundred".