144616248 has 144 divisors (see below), whose sum is σ = 460161000. Its totient is φ = 40908672.

The previous prime is 144616247. The next prime is 144616253. The reversal of 144616248 is 842616441.

It is a happy number.

144616248 is a `hidden beast` number, since 14 + 4 + 616 + 24 + 8 = 666.

144616248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 not an unprimeable number, because it can be changed into a prime (144616247) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 631398 + ... + 631626.

Almost surely, 2^144616248 is an apocalyptic number.

144616248 is a gapful number since it is divisible by the number (18) 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 144616248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230080500).

144616248 is an abundant number, since it is smaller than the sum of its proper divisors (315544752).

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

144616248 is a wasteful number, since it uses less digits than its factorization.

144616248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 420 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 144616248 is about 12025.6495874443. The cubic root of 144616248 is about 524.8949122996.

The spelling of 144616248 in words is "one hundred forty-four million, six hundred sixteen thousand, two hundred forty-eight".