144698400 has 720 divisors, whose sum is σ = 680581440. Its totient is φ = 29030400.

The previous prime is 144698387. The next prime is 144698401. The reversal of 144698400 is 4896441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144698401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4989586 + ... + 4989614.

It is an arithmetic number, because the mean of its divisors is an integer number (945252).

Almost surely, 2^144698400 is an apocalyptic number.

144698400 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 144698400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340290720).

144698400 is an abundant number, since it is smaller than the sum of its proper divisors (535883040).

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

144698400 is a wasteful number, since it uses less digits than its factorization.

144698400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 144698400 is about 12029.0648015546. The cubic root of 144698400 is about 524.9942856521.

The spelling of 144698400 in words is "one hundred forty-four million, six hundred ninety-eight thousand, four hundred".