142200 has 72 divisors (see below), whose sum is σ = 483600. Its totient is φ = 37440.

The previous prime is 142193. The next prime is 142211. The reversal of 142200 is 2241.

142200 = T₁₆ + T₁₇ + ... + T₉₄.

142200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1761 + ... + 1839.

2¹⁴²²⁰⁰ is an apocalyptic number.

142200 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 142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241800).

142200 is an abundant number, since it is smaller than the sum of its proper divisors (341400).

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

142200 is a wasteful number, since it uses less digits than its factorization.

142200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 142200 is about 377.0941526993. The cubic root of 142200 is about 52.1955164159.

Adding to 142200 its reverse (2241), we get a palindrome (144441).

The spelling of 142200 in words is "one hundred forty-two thousand, two hundred", and thus it is an iban number.