144400000 has 144 divisors (see below), whose sum is σ = 379487430. Its totient is φ = 54720000.

The previous prime is 144399973. The next prime is 144400001. The reversal of 144400000 is 4441.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 207936 + 144192064 = 456^2 + 12008^2 .

It is not an unprimeable number, because it can be changed into a prime (144400001) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7599991 + ... + 7600009.

Almost surely, 2^144400000 is an apocalyptic number.

144400000 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 144400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189743715).

144400000 is an abundant number, since it is smaller than the sum of its proper divisors (235087430).

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

144400000 is an frugal number, since it uses more digits than its factorization.

144400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 144400000 is about 12016.6551086398. The cubic root of 144400000 is about 524.6331526417.

Adding to 144400000 its reverse (4441), we get a palindrome (144404441).

The spelling of 144400000 in words is "one hundred forty-four million, four hundred thousand".