144481680 has 240 divisors, whose sum is σ = 561749760. Its totient is φ = 32596992.

The previous prime is 144481651. The next prime is 144481693. The reversal of 144481680 is 86184441.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 549229 + ... + 549491.

It is an arithmetic number, because the mean of its divisors is an integer number (2340624).

Almost surely, 2^144481680 is an apocalyptic number.

144481680 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 144481680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280874880).

144481680 is an abundant number, since it is smaller than the sum of its proper divisors (417268080).

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

144481680 is a wasteful number, since it uses less digits than its factorization.

144481680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 144481680 is about 12020.0532444744. The cubic root of 144481680 is about 524.7320537467.

It can be divided in two parts, 144481 and 680, that added together give a square (145161 = 381²).

The spelling of 144481680 in words is "one hundred forty-four million, four hundred eighty-one thousand, six hundred eighty".