144582016 has 64 divisors (see below), whose sum is σ = 301593600. Its totient is φ = 68958720.

The previous prime is 144581989. The next prime is 144582019. The reversal of 144582016 is 610285441.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144582019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 329125 + ... + 329563.

It is an arithmetic number, because the mean of its divisors is an integer number (4712400).

Almost surely, 2^144582016 is an apocalyptic number.

144582016 is a gapful number since it is divisible by the number (16) 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 144582016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150796800).

144582016 is an abundant number, since it is smaller than the sum of its proper divisors (157011584).

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

144582016 is an equidigital number, since it uses as much as digits as its factorization.

144582016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 144582016 is about 12024.2262121103. The cubic root of 144582016 is about 524.8534932087.

The spelling of 144582016 in words is "one hundred forty-four million, five hundred eighty-two thousand, sixteen".