144738048 has 288 divisors, whose sum is σ = 503641600. Its totient is φ = 35831808.

The previous prime is 144738037. The next prime is 144738091. The reversal of 144738048 is 840837441.

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

It is a junction number, because it is equal to n+sod(n) for n = 144737997 and 144738015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1327818 + ... + 1327926.

Almost surely, 2^144738048 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 144738048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251820800).

144738048 is an abundant number, since it is smaller than the sum of its proper divisors (358903552).

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

144738048 is a wasteful number, since it uses less digits than its factorization.

144738048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 144738048 is about 12030.7126970932. The cubic root of 144738048 is about 525.0422315234.

The spelling of 144738048 in words is "one hundred forty-four million, seven hundred thirty-eight thousand, forty-eight".