144068800 has 84 divisors (see below), whose sum is σ = 357794560. Its totient is φ = 57093120.

The previous prime is 144068797. The next prime is 144068807. The reversal of 144068800 is 8860441.

It is not an unprimeable number, because it can be changed into a prime (144068807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202846 + ... + 203554.

Almost surely, 2^144068800 is an apocalyptic number.

144068800 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 144068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178897280).

144068800 is an abundant number, since it is smaller than the sum of its proper divisors (213725760).

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

144068800 is a wasteful number, since it uses less digits than its factorization.

144068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 144068800 is about 12002.8663243410. The cubic root of 144068800 is about 524.2317410177.

The spelling of 144068800 in words is "one hundred forty-four million, sixty-eight thousand, eight hundred".