144535400 has 48 divisors (see below), whose sum is σ = 337022700. Its totient is φ = 57646080.

The previous prime is 144535351. The next prime is 144535409. The reversal of 144535400 is 4535441.

It can be written as a sum of positive squares in 6 ways, for example, as 26030404 + 118504996 = 5102^2 + 10886^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 144535400.

It is not an unprimeable number, because it can be changed into a prime (144535409) 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, 85766 + ... + 87434.

Almost surely, 2^144535400 is an apocalyptic number.

144535400 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 144535400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168511350).

144535400 is an abundant number, since it is smaller than the sum of its proper divisors (192487300).

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

144535400 is a wasteful number, since it uses less digits than its factorization.

144535400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 144535400 is about 12022.2876358869. The cubic root of 144535400 is about 524.7970795526.

The spelling of 144535400 in words is "one hundred forty-four million, five hundred thirty-five thousand, four hundred".