144720900 has 81 divisors (see below), whose sum is σ = 454753663. Its totient is φ = 38496000.

The previous prime is 144720893. The next prime is 144720907. The reversal of 144720900 is 9027441.

It is a happy number.

The square root of 144720900 is 12030.

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

It is an interprime number because it is at equal distance from previous prime (144720893) and next prime (144720907).

It can be written as a sum of positive squares in 4 ways, for example, as 38713284 + 106007616 = 6222^2 + 10296^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144720907) 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, 360700 + ... + 361100.

Almost surely, 2^144720900 is an apocalyptic number.

144720900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144720900 is the 12030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144720900

144720900 is an abundant number, since it is smaller than the sum of its proper divisors (310032763).

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

144720900 is a wasteful number, since it uses less digits than its factorization.

144720900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The cubic root of 144720900 is about 525.0214957185.

The spelling of 144720900 in words is "one hundred forty-four million, seven hundred twenty thousand, nine hundred".