144729432 has 192 divisors, whose sum is σ = 445798080. Its totient is φ = 42172416.

The previous prime is 144729427. The next prime is 144729439. The reversal of 144729432 is 234927441.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144729439) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1492008 + ... + 1492104.

It is an arithmetic number, because the mean of its divisors is an integer number (2321865).

Almost surely, 2^144729432 is an apocalyptic number.

144729432 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 144729432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222899040).

144729432 is an abundant number, since it is smaller than the sum of its proper divisors (301068648).

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

144729432 is a wasteful number, since it uses less digits than its factorization.

144729432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 195 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 144729432 is about 12030.3546082399. The cubic root of 144729432 is about 525.0318130382.

It can be divided in two parts, 144729 and 432, that added together give a square (145161 = 381²).

The spelling of 144729432 in words is "one hundred forty-four million, seven hundred twenty-nine thousand, four hundred thirty-two".