144496800 has 432 divisors, whose sum is σ = 604461312. Its totient is φ = 31795200.

The previous prime is 144496789. The next prime is 144496811. The reversal of 144496800 is 8694441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (144496789) and next prime (144496811).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2368770 + ... + 2368830.

It is an arithmetic number, because the mean of its divisors is an integer number (1399216).

Almost surely, 2^144496800 is an apocalyptic number.

144496800 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 144496800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302230656).

144496800 is an abundant number, since it is smaller than the sum of its proper divisors (459964512).

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

144496800 is a wasteful number, since it uses less digits than its factorization.

144496800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 125 counting only the distinct ones).

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

The square root of 144496800 is about 12020.6821769815. The cubic root of 144496800 is about 524.7503575019.

The spelling of 144496800 in words is "one hundred forty-four million, four hundred ninety-six thousand, eight hundred".