144101200 has 60 divisors (see below), whose sum is σ = 347555260. Its totient is φ = 57415680.

The previous prime is 144101147. The next prime is 144101219. The reversal of 144101200 is 2101441.

It can be written as a sum of positive squares in 6 ways, for example, as 10837264 + 133263936 = 3292^2 + 11544^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134266 + ... + 135334.

Almost surely, 2^144101200 is an apocalyptic number.

144101200 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 144101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173777630).

144101200 is an abundant number, since it is smaller than the sum of its proper divisors (203454060).

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

144101200 is a wasteful number, since it uses less digits than its factorization.

144101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 144101200 is about 12004.2159260820. The cubic root of 144101200 is about 524.2710366767.

Adding to 144101200 its reverse (2101441), we get a palindrome (146202641).

The spelling of 144101200 in words is "one hundred forty-four million, one hundred one thousand, two hundred".