144541454400 has 1134 divisors, whose sum is σ = 622771329258. Its totient is φ = 32920473600.

The previous prime is 144541454389. The next prime is 144541454413. The reversal of 144541454400 is 4454145441.

144541454400 is a `hidden beast` number, since 144 + 54 + 14 + 54 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 16131032064 + 128410422336 = 127008^2 + 358344^2 .

It is a tau number, because it is divible by the number of its divisors (1134).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 514382260 + ... + 514382540.

Almost surely, 2^144541454400 is an apocalyptic number.

144541454400 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 144541454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311385664629).

144541454400 is an abundant number, since it is smaller than the sum of its proper divisors (478229874858).

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

144541454400 is an frugal number, since it uses more digits than its factorization.

144541454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

Adding to 144541454400 its reverse (4454145441), we get a palindrome (148995599841).

The spelling of 144541454400 in words is "one hundred forty-four billion, five hundred forty-one million, four hundred fifty-four thousand, four hundred".