144684330 has 128 divisors (see below), whose sum is σ = 412065792. Its totient is φ = 31830528.

The previous prime is 144684301. The next prime is 144684359. The reversal of 144684330 is 33486441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (144684301) and next prime (144684359).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 144684291 and 144684300.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1056022 + ... + 1056158.

It is an arithmetic number, because the mean of its divisors is an integer number (3219264).

Almost surely, 2^144684330 is an apocalyptic number.

144684330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144684330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206032896).

144684330 is an abundant number, since it is smaller than the sum of its proper divisors (267381462).

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

144684330 is a wasteful number, since it uses less digits than its factorization.

144684330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308.

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 144684330 is about 12028.4799538429. The cubic root of 144684330 is about 524.9772688571.

It can be divided in two parts, 1 and 44684330, that added together give a triangular number (44684331 = T₉₄₅₃).

The spelling of 144684330 in words is "one hundred forty-four million, six hundred eighty-four thousand, three hundred thirty".