144998400 has 192 divisors, whose sum is σ = 487580400. Its totient is φ = 38010880.

The previous prime is 144998387. The next prime is 144998419. The reversal of 144998400 is 4899441.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2457571 + ... + 2457629.

Almost surely, 2^144998400 is an apocalyptic number.

144998400 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 144998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243790200).

144998400 is an abundant number, since it is smaller than the sum of its proper divisors (342582000).

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

144998400 is an frugal number, since it uses more digits than its factorization.

144998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 144998400 is about 12041.5281422251. The cubic root of 144998400 is about 525.3568548880.

The spelling of 144998400 in words is "one hundred forty-four million, nine hundred ninety-eight thousand, four hundred".