142400 has 42 divisors (see below), whose sum is σ = 354330. Its totient is φ = 56320.

The previous prime is 142391. The next prime is 142403. The reversal of 142400 is 4241.

It can be written as a sum of positive squares in 3 ways, for example, as 1024 + 141376 = 32^2 + 376^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (142403) by changing a digit.

142400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1556 + ... + 1644.

2¹⁴²⁴⁰⁰ is an apocalyptic number.

142400 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 142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177165).

142400 is an abundant number, since it is smaller than the sum of its proper divisors (211930).

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

142400 is an equidigital number, since it uses as much as digits as its factorization.

142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 142400 is about 377.3592452823. The cubic root of 142400 is about 52.2199754244.

Adding to 142400 its reverse (4241), we get a palindrome (146641).

The spelling of 142400 in words is "one hundred forty-two thousand, four hundred", and thus it is an iban number.