142879200 has 144 divisors (see below), whose sum is σ = 477938160. Its totient is φ = 37048320.

The previous prime is 142879171. The next prime is 142879207. The reversal of 142879200 is 2978241.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142879207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87996 + ... + 89604.

It is an arithmetic number, because the mean of its divisors is an integer number (3319015).

Almost surely, 2^142879200 is an apocalyptic number.

142879200 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 142879200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238969080).

142879200 is an abundant number, since it is smaller than the sum of its proper divisors (335058960).

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

142879200 is a wasteful number, since it uses less digits than its factorization.

142879200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 142879200 is about 11953.2087742162. The cubic root of 142879200 is about 522.7848617997.

The spelling of 142879200 in words is "one hundred forty-two million, eight hundred seventy-nine thousand, two hundred".