144681680 has 80 divisors (see below), whose sum is σ = 395224704. Its totient is φ = 48560640.

The previous prime is 144681673. The next prime is 144681683. The reversal of 144681680 is 86186441.

144681680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144681683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5117 + ... + 17763.

Almost surely, 2^144681680 is an apocalyptic number.

144681680 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 144681680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197612352).

144681680 is an abundant number, since it is smaller than the sum of its proper divisors (250543024).

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

144681680 is a wasteful number, since it uses less digits than its factorization.

144681680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12684 (or 12678 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 144681680 is about 12028.3697981065. The cubic root of 144681680 is about 524.9740637225.

The spelling of 144681680 in words is "one hundred forty-four million, six hundred eighty-one thousand, six hundred eighty".