144329952 has 96 divisors (see below), whose sum is σ = 412140960. Its totient is φ = 43960320.

The previous prime is 144329951. The next prime is 144329959. The reversal of 144329952 is 259923441.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×144329952² = 41662270088644608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 144329952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144329951) 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 15 ways as a sum of consecutive naturals, for example, 135502 + ... + 136562.

It is an arithmetic number, because the mean of its divisors is an integer number (4293135).

Almost surely, 2^144329952 is an apocalyptic number.

144329952 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 144329952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206070480).

144329952 is an abundant number, since it is smaller than the sum of its proper divisors (267811008).

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

144329952 is a wasteful number, since it uses less digits than its factorization.

144329952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1188 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 144329952 is about 12013.7401336969. The cubic root of 144329952 is about 524.5483062728.

The spelling of 144329952 in words is "one hundred forty-four million, three hundred twenty-nine thousand, nine hundred fifty-two".