144315280 has 40 divisors (see below), whose sum is σ = 339319800. Its totient is φ = 57074688.

The previous prime is 144315277. The next prime is 144315289. The reversal of 144315280 is 82513441.

It can be written as a sum of positive squares in 4 ways, for example, as 12616704 + 131698576 = 3552^2 + 11476^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144315289) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3015 + ... + 17254.

It is an arithmetic number, because the mean of its divisors is an integer number (8482995).

Almost surely, 2^144315280 is an apocalyptic number.

144315280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144315280 is an abundant number, since it is smaller than the sum of its proper divisors (195004520).

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

144315280 is a wasteful number, since it uses less digits than its factorization.

144315280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20371 (or 20365 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 144315280 is about 12013.1294840270. The cubic root of 144315280 is about 524.5305311830.

The spelling of 144315280 in words is "one hundred forty-four million, three hundred fifteen thousand, two hundred eighty".