144076896 has 72 divisors (see below), whose sum is σ = 417493440. Its totient is φ = 47114496.

The previous prime is 144076883. The next prime is 144076903. The reversal of 144076896 is 698670441.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10545 + ... + 19983.

It is an arithmetic number, because the mean of its divisors is an integer number (5798520).

Almost surely, 2^144076896 is an apocalyptic number.

144076896 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 144076896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208746720).

144076896 is an abundant number, since it is smaller than the sum of its proper divisors (273416544).

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

144076896 is a wasteful number, since it uses less digits than its factorization.

144076896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9508 (or 9497 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 144076896 is about 12003.2035723802. The cubic root of 144076896 is about 524.2415606332.

The spelling of 144076896 in words is "one hundred forty-four million, seventy-six thousand, eight hundred ninety-six".