142541200 has 60 divisors (see below), whose sum is σ = 343642068. Its totient is φ = 56819200.

The previous prime is 142541167. The next prime is 142541207. The reversal of 142541200 is 2145241.

It can be written as a sum of positive squares in 6 ways, for example, as 32626944 + 109914256 = 5712^2 + 10484^2 .

It is not an unprimeable number, because it can be changed into a prime (142541207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184014 + ... + 184786.

Almost surely, 2^142541200 is an apocalyptic number.

142541200 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 142541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171821034).

142541200 is an abundant number, since it is smaller than the sum of its proper divisors (201100868).

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

142541200 is a wasteful number, since it uses less digits than its factorization.

142541200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 142541200 is about 11939.0619397003. The cubic root of 142541200 is about 522.3722969580.

Adding to 142541200 its reverse (2145241), we get a palindrome (144686441).

The spelling of 142541200 in words is "one hundred forty-two million, five hundred forty-one thousand, two hundred".