144114000 has 80 divisors (see below), whose sum is σ = 464642880. Its totient is φ = 38428800.

The previous prime is 144113989. The next prime is 144114007. The reversal of 144114000 is 411441.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144114007) 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, 6010 + ... + 18009.

It is an arithmetic number, because the mean of its divisors is an integer number (5808036).

Almost surely, 2^144114000 is an apocalyptic number.

144114000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144114000 is an abundant number, since it is smaller than the sum of its proper divisors (320528880).

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

144114000 is a wasteful number, since it uses less digits than its factorization.

144114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24045 (or 24029 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 144114000 is about 12004.7490602678. The cubic root of 144114000 is about 524.2865592644.

Adding to 144114000 its reverse (411441), we get a palindrome (144525441).

The spelling of 144114000 in words is "one hundred forty-four million, one hundred fourteen thousand".