144190368 has 168 divisors, whose sum is σ = 486970848. Its totient is φ = 41150592.

The previous prime is 144190363. The next prime is 144190433. The reversal of 144190368 is 863091441.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (144190363) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 162855 + ... + 163737.

It is an arithmetic number, because the mean of its divisors is an integer number (2898636).

Almost surely, 2^144190368 is an apocalyptic number.

144190368 is a gapful number since it is divisible by the number (18) 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 144190368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243485424).

144190368 is an abundant number, since it is smaller than the sum of its proper divisors (342780480).

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

144190368 is an frugal number, since it uses more digits than its factorization.

144190368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 144190368 is about 12007.9293802054. The cubic root of 144190368 is about 524.3791518085.

It can be divided in two parts, 1441 and 90368, that added together give a square (91809 = 303²).

The spelling of 144190368 in words is "one hundred forty-four million, one hundred ninety thousand, three hundred sixty-eight".