144564160 has 224 divisors, whose sum is σ = 409651200. Its totient is φ = 48107520.

The previous prime is 144564071. The next prime is 144564197. The reversal of 144564160 is 61465441.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2450211 + ... + 2450269.

It is an arithmetic number, because the mean of its divisors is an integer number (1828800).

Almost surely, 2^144564160 is an apocalyptic number.

144564160 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 144564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204825600).

144564160 is an abundant number, since it is smaller than the sum of its proper divisors (265087040).

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

144564160 is a wasteful number, since it uses less digits than its factorization.

144564160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 144564160 is about 12023.4836881829. The cubic root of 144564160 is about 524.8318857039.

The spelling of 144564160 in words is "one hundred forty-four million, five hundred sixty-four thousand, one hundred sixty".