144937521 has 9 divisors (see below), whose sum is σ = 209406379. Its totient is φ = 96600936.

The previous prime is 144937489. The next prime is 144937523. The reversal of 144937521 is 125739441.

The square root of 144937521 is 12039.

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

144937521 is a `hidden beast` number, since 1 + 44 + 93 + 7 + 521 = 666.

It can be written as a sum of positive squares in only one way, i.e., 121550625 + 23386896 = 11025^2 + 4836^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 144937521 - 2⁵ = 144937489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144937523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 34111 + ... + 38123.

Almost surely, 2^144937521 is an apocalyptic number.

144937521 is the 12039-th square number.

144937521 is the 6020-th centered octagonal number.

It is an amenable number.

144937521 is a deficient number, since it is larger than the sum of its proper divisors (64468858).

144937521 is an frugal number, since it uses more digits than its factorization.

144937521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8032 (or 4016 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The cubic root of 144937521 is about 525.2833191866.

Multiplying 144937521 by its sum of digits (36), we get a square (5217750756 = 72234²).

The spelling of 144937521 in words is "one hundred forty-four million, nine hundred thirty-seven thousand, five hundred twenty-one".