144013680 has 160 divisors (see below), whose sum is σ = 504640320. Its totient is φ = 37739520.

The previous prime is 144013679. The next prime is 144013691. The reversal of 144013680 is 86310441.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131214 + ... + 132306.

It is an arithmetic number, because the mean of its divisors is an integer number (3154002).

Almost surely, 2^144013680 is an apocalyptic number.

144013680 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 144013680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252320160).

144013680 is an abundant number, since it is smaller than the sum of its proper divisors (360626640).

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

144013680 is a wasteful number, since it uses less digits than its factorization.

144013680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 144013680 is about 12000.5699864631. The cubic root of 144013680 is about 524.1648763450.

It can be divided in two parts, 14401 and 3680, that added together give a palindrome (18081).

The spelling of 144013680 in words is "one hundred forty-four million, thirteen thousand, six hundred eighty".