144000192 has 112 divisors (see below), whose sum is σ = 438099200. Its totient is φ = 40891392.

The previous prime is 144000191. The next prime is 144000193. The reversal of 144000192 is 291000441.

It is an interprime number because it is at equal distance from previous prime (144000191) and next prime (144000193).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (144000191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 412434 + ... + 412782.

It is an arithmetic number, because the mean of its divisors is an integer number (3911600).

Almost surely, 2^144000192 is an apocalyptic number.

144000192 is a gapful number since it is divisible by the number (12) 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 144000192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219049600).

144000192 is an abundant number, since it is smaller than the sum of its proper divisors (294099008).

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

144000192 is a wasteful number, since it uses less digits than its factorization.

144000192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 144000192 is about 12000.0079999973. The cubic root of 144000192 is about 524.1485117965.

It can be divided in two parts, 14 and 4000192, that added together give a triangular number (4000206 = T₂₈₂₈).

The spelling of 144000192 in words is "one hundred forty-four million, one hundred ninety-two", and thus it is an aban number.