144442080 has 144 divisors (see below), whose sum is σ = 506417184. Its totient is φ = 37463040.

The previous prime is 144442073. The next prime is 144442087. The reversal of 144442080 is 80244441.

It is a happy number.

144442080 is a `hidden beast` number, since 14 + 444 + 208 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (144442073) and next prime (144442087).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144442087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51925 + ... + 54635.

It is an arithmetic number, because the mean of its divisors is an integer number (3516786).

Almost surely, 2^144442080 is an apocalyptic number.

144442080 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 144442080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253208592).

144442080 is an abundant number, since it is smaller than the sum of its proper divisors (361975104).

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

144442080 is a wasteful number, since it uses less digits than its factorization.

144442080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2769 (or 2758 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 144442080 is about 12018.4058843093. The cubic root of 144442080 is about 524.6841092875.

The spelling of 144442080 in words is "one hundred forty-four million, four hundred forty-two thousand, eighty".