144080000 has 80 divisors (see below), whose sum is σ = 358877310. Its totient is φ = 57600000.

The previous prime is 144079973. The next prime is 144080009. The reversal of 144080000 is 80441.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 1420864 + 142659136 = 1192^2 + 11944^2 .

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

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (144080009) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 79100 + ... + 80900.

Almost surely, 2^144080000 is an apocalyptic number.

144080000 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 144080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179438655).

144080000 is an abundant number, since it is smaller than the sum of its proper divisors (214797310).

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

144080000 is an frugal number, since it uses more digits than its factorization.

144080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835 (or 1808 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 144080000 is about 12003.3328704989. The cubic root of 144080000 is about 524.2453253685.

The spelling of 144080000 in words is "one hundred forty-four million, eighty thousand".