144387936 has 288 divisors, whose sum is σ = 543449088. Its totient is φ = 35205120.

The previous prime is 144387923. The next prime is 144387959. The reversal of 144387936 is 639783441.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 144387891 and 144387900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 376801 + ... + 377183.

It is an arithmetic number, because the mean of its divisors is an integer number (1886976).

Almost surely, 2^144387936 is an apocalyptic number.

144387936 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 144387936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271724544).

144387936 is an abundant number, since it is smaller than the sum of its proper divisors (399061152).

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

144387936 is a wasteful number, since it uses less digits than its factorization.

144387936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 423 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 144387936 is about 12016.1531281854. The cubic root of 144387936 is about 524.6185419524.

The spelling of 144387936 in words is "one hundred forty-four million, three hundred eighty-seven thousand, nine hundred thirty-six".