144948032 has 42 divisors (see below), whose sum is σ = 298002198. Its totient is φ = 69948928.

The previous prime is 144948019. The next prime is 144948053. The reversal of 144948032 is 230849441.

It can be written as a sum of positive squares in 3 ways, for example, as 19149376 + 125798656 = 4376^2 + 11216^2 .

It is a junction number, because it is equal to n+sod(n) for n = 144947983 and 144948001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52478 + ... + 55170.

Almost surely, 2^144948032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144948032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149001099).

144948032 is an abundant number, since it is smaller than the sum of its proper divisors (153054166).

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

144948032 is an equidigital number, since it uses as much as digits as its factorization.

144948032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2763 (or 2724 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 144948032 is about 12039.4365316654. The cubic root of 144948032 is about 525.2960168866.

The spelling of 144948032 in words is "one hundred forty-four million, nine hundred forty-eight thousand, thirty-two".