144097200 has 180 divisors, whose sum is σ = 538698160. Its totient is φ = 35458560.

The previous prime is 144097199. The next prime is 144097211. The reversal of 144097200 is 2790441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45261 + ... + 48339.

Almost surely, 2^144097200 is an apocalyptic number.

144097200 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 144097200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269349080).

144097200 is an abundant number, since it is smaller than the sum of its proper divisors (394600960).

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

144097200 is a wasteful number, since it uses less digits than its factorization.

144097200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3116 (or 3102 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 144097200 is about 12004.0493167931. The cubic root of 144097200 is about 524.2661856795.

It can be divided in two parts, 14409 and 7200, that added together give a square (21609 = 147²).

The spelling of 144097200 in words is "one hundred forty-four million, ninety-seven thousand, two hundred".