144484992 has 128 divisors (see below), whose sum is σ = 431827200. Its totient is φ = 47554560.

The previous prime is 144484981. The next prime is 144484999. The reversal of 144484992 is 299484441.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144484999) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 335017 + ... + 335447.

It is an arithmetic number, because the mean of its divisors is an integer number (3373650).

Almost surely, 2^144484992 is an apocalyptic number.

144484992 is a gapful number since it is divisible by the number (12) 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 144484992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215913600).

144484992 is an abundant number, since it is smaller than the sum of its proper divisors (287342208).

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

144484992 is an equidigital number, since it uses as much as digits as its factorization.

144484992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 533 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 144484992 is about 12020.1910134573. The cubic root of 144484992 is about 524.7360632499.

It can be divided in two parts, 1444 and 84992, that added together give a square (86436 = 294²).

The spelling of 144484992 in words is "one hundred forty-four million, four hundred eighty-four thousand, nine hundred ninety-two".