144814080 has 104 divisors (see below), whose sum is σ = 463545072. Its totient is φ = 38600704.

The previous prime is 144814039. The next prime is 144814127. The reversal of 144814080 is 80418441.

It is a super-2 number, since 2×144814080² = 41942235532492800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60262 + ... + 62618.

Almost surely, 2^144814080 is an apocalyptic number.

144814080 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 144814080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231772536).

144814080 is an abundant number, since it is smaller than the sum of its proper divisors (318730992).

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

144814080 is an equidigital number, since it uses as much as digits as its factorization.

144814080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2389 (or 2367 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 144814080 is about 12033.8721947676. The cubic root of 144814080 is about 525.1341516588.

The spelling of 144814080 in words is "one hundred forty-four million, eight hundred fourteen thousand, eighty".