144688656 has 160 divisors (see below), whose sum is σ = 457113600. Its totient is φ = 38545920.

The previous prime is 144688651. The next prime is 144688669. The reversal of 144688656 is 656886441.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144688651) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301825 + ... + 302303.

It is an arithmetic number, because the mean of its divisors is an integer number (2856960).

Almost surely, 2^144688656 is an apocalyptic number.

144688656 is a gapful number since it is divisible by the number (16) 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 144688656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228556800).

144688656 is an abundant number, since it is smaller than the sum of its proper divisors (312424944).

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

144688656 is a wasteful number, since it uses less digits than its factorization.

144688656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 551 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 48.

The square root of 144688656 is about 12028.6597757190. The cubic root of 144688656 is about 524.9825010040.

The spelling of 144688656 in words is "one hundred forty-four million, six hundred eighty-eight thousand, six hundred fifty-six".