144950400 has 288 divisors, whose sum is σ = 591926400. Its totient is φ = 33085440.

The previous prime is 144950387. The next prime is 144950401. The reversal of 144950400 is 4059441.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (144950401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 201241 + ... + 201959.

It is an arithmetic number, because the mean of its divisors is an integer number (2055300).

Almost surely, 2^144950400 is an apocalyptic number.

144950400 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 144950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295963200).

144950400 is an abundant number, since it is smaller than the sum of its proper divisors (446976000).

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

144950400 is a wasteful number, since it uses less digits than its factorization.

144950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 144950400 is about 12039.5348747366. The cubic root of 144950400 is about 525.2988774387.

The spelling of 144950400 in words is "one hundred forty-four million, nine hundred fifty thousand, four hundred".