144287360 has 192 divisors, whose sum is σ = 414421920. Its totient is φ = 47867904.

The previous prime is 144287357. The next prime is 144287369. The reversal of 144287360 is 63782441.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 144287360.

It is not an unprimeable number, because it can be changed into a prime (144287369) 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, 1348427 + ... + 1348533.

Almost surely, 2^144287360 is an apocalyptic number.

144287360 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 144287360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207210960).

144287360 is an abundant number, since it is smaller than the sum of its proper divisors (270134560).

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

144287360 is a wasteful number, since it uses less digits than its factorization.

144287360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 144287360 is about 12011.9673659230. The cubic root of 144287360 is about 524.4967028479.

The spelling of 144287360 in words is "one hundred forty-four million, two hundred eighty-seven thousand, three hundred sixty".