144416000 has 72 divisors (see below), whose sum is σ = 359838024. Its totient is φ = 57753600.

The previous prime is 144415993. The next prime is 144416033. The reversal of 144416000 is 614441.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 45373696 + 99042304 = 6736^2 + 9952^2 .

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 29744 + ... + 34256.

Almost surely, 2^144416000 is an apocalyptic number.

144416000 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 144416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179919012).

144416000 is an abundant number, since it is smaller than the sum of its proper divisors (215422024).

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

144416000 is an frugal number, since it uses more digits than its factorization.

144416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4544 (or 4520 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 144416000 is about 12017.3208328645. The cubic root of 144416000 is about 524.6525289585.

The spelling of 144416000 in words is "one hundred forty-four million, four hundred sixteen thousand".