144688896 has 216 divisors, whose sum is σ = 473022480. Its totient is φ = 43591680.

The previous prime is 144688891. The next prime is 144688897. The reversal of 144688896 is 698886441.

144688896 is a `hidden beast` number, since 14 + 468 + 88 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144688891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 836266 + ... + 836438.

Almost surely, 2^144688896 is an apocalyptic number.

144688896 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 144688896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236511240).

144688896 is an abundant number, since it is smaller than the sum of its proper divisors (328333584).

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

144688896 is a wasteful number, since it uses less digits than its factorization.

144688896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 189 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 144688896 is about 12028.6697518886. The cubic root of 144688896 is about 524.9827912727.

The spelling of 144688896 in words is "one hundred forty-four million, six hundred eighty-eight thousand, eight hundred ninety-six".