144918000 has 240 divisors, whose sum is σ = 517529376. Its totient is φ = 37785600.

The previous prime is 144917989. The next prime is 144918001. The reversal of 144918000 is 819441.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144918001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1493952 + ... + 1494048.

Almost surely, 2^144918000 is an apocalyptic number.

144918000 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 144918000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258764688).

144918000 is an abundant number, since it is smaller than the sum of its proper divisors (372611376).

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

144918000 is a wasteful number, since it uses less digits than its factorization.

144918000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 144918000 is about 12038.1892326047. The cubic root of 144918000 is about 525.2597354244.

The spelling of 144918000 in words is "one hundred forty-four million, nine hundred eighteen thousand".