144893200 has 30 divisors (see below), whose sum is σ = 348106874. Its totient is φ = 57957120.

The previous prime is 144893171. The next prime is 144893207. The reversal of 144893200 is 2398441.

It can be written as a sum of positive squares in 3 ways, for example, as 9217296 + 135675904 = 3036^2 + 11648^2 .

It is not an unprimeable number, because it can be changed into a prime (144893207) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 180717 + ... + 181516.

Almost surely, 2^144893200 is an apocalyptic number.

144893200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144893200 is an abundant number, since it is smaller than the sum of its proper divisors (203213674).

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

144893200 is a wasteful number, since it uses less digits than its factorization.

144893200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362251 (or 362240 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 144893200 is about 12037.1591332839. The cubic root of 144893200 is about 525.2297709282.

It can be divided in two parts, 14489 and 3200, that added together give a square (17689 = 133²).

The spelling of 144893200 in words is "one hundred forty-four million, eight hundred ninety-three thousand, two hundred".