142209187200 has 288 divisors, whose sum is σ = 519240304440. Its totient is φ = 37040209920.

The previous prime is 142209187199. The next prime is 142209187223. The reversal of 142209187200 is 2781902241.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1180984 + ... + 1295816.

Almost surely, 2^142209187200 is an apocalyptic number.

142209187200 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 142209187200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259620152220).

142209187200 is an abundant number, since it is smaller than the sum of its proper divisors (377031117240).

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

142209187200 is a wasteful number, since it uses less digits than its factorization.

142209187200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114906 (or 114886 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 142209187200 in words is "one hundred forty-two billion, two hundred nine million, one hundred eighty-seven thousand, two hundred".