144285120 has 336 divisors, whose sum is σ = 601967808. Its totient is φ = 30965760.

The previous prime is 144285101. The next prime is 144285131. The reversal of 144285120 is 21582441.

144285120 is a `hidden beast` number, since 144 + 2 + 8 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 342510 + ... + 342930.

Almost surely, 2^144285120 is an apocalyptic number.

144285120 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 144285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300983904).

144285120 is an abundant number, since it is smaller than the sum of its proper divisors (457682688).

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

144285120 is a wasteful number, since it uses less digits than its factorization.

144285120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 144285120 is about 12011.8741252146. The cubic root of 144285120 is about 524.4939886376.

The spelling of 144285120 in words is "one hundred forty-four million, two hundred eighty-five thousand, one hundred twenty".