144650908900 has 81 divisors (see below), whose sum is σ = 318863291313. Its totient is φ = 56958220800.

The previous prime is 144650908849. The next prime is 144650908903. The reversal of 144650908900 is 9809056441.

It is a happy number.

The square root of 144650908900 is 380330.

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

It can be written as a sum of positive squares in 13 ways, for example, as 112483768996 + 32167139904 = 335386^2 + 179352^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144650908903) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 277640640 + ... + 277641160.

Almost surely, 2^144650908900 is an apocalyptic number.

144650908900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144650908900 is the 380330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144650908900

144650908900 is an abundant number, since it is smaller than the sum of its proper divisors (174212382413).

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

144650908900 is an frugal number, since it uses more digits than its factorization.

144650908900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The spelling of 144650908900 in words is "one hundred forty-four billion, six hundred fifty million, nine hundred eight thousand, nine hundred".