144308080 has 80 divisors (see below), whose sum is σ = 384975360. Its totient is φ = 49280256.

The previous prime is 144308063. The next prime is 144308081. The reversal of 144308080 is 80803441.

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

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144308081) 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, 245547 + ... + 246133.

It is an arithmetic number, because the mean of its divisors is an integer number (4812192).

Almost surely, 2^144308080 is an apocalyptic number.

144308080 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 144308080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192487680).

144308080 is an abundant number, since it is smaller than the sum of its proper divisors (240667280).

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

144308080 is a wasteful number, since it uses less digits than its factorization.

144308080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 144308080 is about 12012.8298081676. The cubic root of 144308080 is about 524.5218079611.

The spelling of 144308080 in words is "one hundred forty-four million, three hundred eight thousand, eighty".