144532752 has 240 divisors, whose sum is σ = 486843840. Its totient is φ = 36578304.

The previous prime is 144532747. The next prime is 144532769. The reversal of 144532752 is 257235441.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 886623 + ... + 886785.

It is an arithmetic number, because the mean of its divisors is an integer number (2028516).

Almost surely, 2^144532752 is an apocalyptic number.

144532752 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 144532752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243421920).

144532752 is an abundant number, since it is smaller than the sum of its proper divisors (342311088).

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

144532752 is a wasteful number, since it uses less digits than its factorization.

144532752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 217 counting only the distinct ones).

The product of its digits is 33600, while the sum is 33.

The square root of 144532752 is about 12022.1775065917. The cubic root of 144532752 is about 524.7938746373.

It can be divided in two parts, 14453 and 2752, that added together give a triangular number (17205 = T₁₈₅).

The spelling of 144532752 in words is "one hundred forty-four million, five hundred thirty-two thousand, seven hundred fifty-two".