144765000 has 120 divisors (see below), whose sum is σ = 490085310. Its totient is φ = 38592000.

The previous prime is 144764999. The next prime is 144765007. The reversal of 144765000 is 567441.

144765000 is a `hidden beast` number, since 1 + 4 + 4 + 7 + 650 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 16305444 + 128459556 = 4038^2 + 11334^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (144765007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 43392 + ... + 46608.

Almost surely, 2^144765000 is an apocalyptic number.

144765000 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 144765000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245042655).

144765000 is an abundant number, since it is smaller than the sum of its proper divisors (345320310).

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

144765000 is a wasteful number, since it uses less digits than its factorization.

144765000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3249 (or 3227 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 144765000 is about 12031.8327780933. The cubic root of 144765000 is about 525.0748192688.

The spelling of 144765000 in words is "one hundred forty-four million, seven hundred sixty-five thousand".