144600960 has 384 divisors, whose sum is σ = 565120800. Its totient is φ = 31309824.

The previous prime is 144600949. The next prime is 144600961. The reversal of 144600960 is 69006441.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144600961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2728294 + ... + 2728346.

Almost surely, 2^144600960 is an apocalyptic number.

144600960 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 144600960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282560400).

144600960 is an abundant number, since it is smaller than the sum of its proper divisors (420519840).

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

144600960 is a wasteful number, since it uses less digits than its factorization.

144600960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 144600960 is about 12025.0139293059. The cubic root of 144600960 is about 524.8764153550.

The spelling of 144600960 in words is "one hundred forty-four million, six hundred thousand, nine hundred sixty".