144897984 has 336 divisors, whose sum is σ = 541422336. Its totient is φ = 37635840.

The previous prime is 144897943. The next prime is 144897989. The reversal of 144897984 is 489798441.

144897984 is a `hidden beast` number, since 14 + 489 + 79 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 144897984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144897989) 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 47 ways as a sum of consecutive naturals, for example, 13172539 + ... + 13172549.

It is an arithmetic number, because the mean of its divisors is an integer number (1611376).

Almost surely, 2^144897984 is an apocalyptic number.

144897984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144897984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270711168).

144897984 is an abundant number, since it is smaller than the sum of its proper divisors (396524352).

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

144897984 is an frugal number, since it uses more digits than its factorization.

144897984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 23 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 144897984 is about 12037.3578496280. The cubic root of 144897984 is about 525.2355514423.

The spelling of 144897984 in words is "one hundred forty-four million, eight hundred ninety-seven thousand, nine hundred eighty-four".