144932832 has 108 divisors (see below), whose sum is σ = 453136320. Its totient is φ = 43908480.

The previous prime is 144932773. The next prime is 144932849. The reversal of 144932832 is 238239441.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 32769 + ... + 36927.

Almost surely, 2^144932832 is an apocalyptic number.

144932832 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 144932832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226568160).

144932832 is an abundant number, since it is smaller than the sum of its proper divisors (308203488).

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

144932832 is a wasteful number, since it uses less digits than its factorization.

144932832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4197 (or 4175 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 144932832 is about 12038.8052563367. The cubic root of 144932832 is about 525.2776544927.

The spelling of 144932832 in words is "one hundred forty-four million, nine hundred thirty-two thousand, eight hundred thirty-two".