144438002500 has 135 divisors (see below), whose sum is σ = 347684848203. Its totient is φ = 52446900000.

The previous prime is 144438002477. The next prime is 144438002503. The reversal of 144438002500 is 5200834441.

The square root of 144438002500 is 380050.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 11323939396 + 133114063104 = 106414^2 + 364848^2 .

It is not an unprimeable number, because it can be changed into a prime (144438002503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 209027155 + ... + 209027845.

Almost surely, 2^144438002500 is an apocalyptic number.

144438002500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144438002500 is the 380050-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144438002500

144438002500 is an abundant number, since it is smaller than the sum of its proper divisors (203246845703).

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

144438002500 is an frugal number, since it uses more digits than its factorization.

144438002500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

Adding to 144438002500 its reverse (5200834441), we get a palindrome (149638836941).

The spelling of 144438002500 in words is "one hundred forty-four billion, four hundred thirty-eight million, two thousand, five hundred".