144355680 has 144 divisors (see below), whose sum is σ = 563026464. Its totient is φ = 32993280.

The previous prime is 144355669. The next prime is 144355697. The reversal of 144355680 is 86553441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2920 + ... + 17240.

It is an arithmetic number, because the mean of its divisors is an integer number (3909906).

Almost surely, 2^144355680 is an apocalyptic number.

144355680 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 144355680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281513232).

144355680 is an abundant number, since it is smaller than the sum of its proper divisors (418670784).

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

144355680 is a wasteful number, since it uses less digits than its factorization.

144355680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14349 (or 14338 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 144355680 is about 12014.8108599345. The cubic root of 144355680 is about 524.5794727696.

The spelling of 144355680 in words is "one hundred forty-four million, three hundred fifty-five thousand, six hundred eighty".