144747216 has 80 divisors (see below), whose sum is σ = 424377600. Its totient is φ = 47215872.

The previous prime is 144747209. The next prime is 144747217. The reversal of 144747216 is 612747441.

It is a happy number.

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 (144747217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16740 + ... + 23868.

It is an arithmetic number, because the mean of its divisors is an integer number (5304720).

Almost surely, 2^144747216 is an apocalyptic number.

144747216 is a gapful number since it is divisible by the number (16) 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 144747216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212188800).

144747216 is an abundant number, since it is smaller than the sum of its proper divisors (279630384).

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

144747216 is a wasteful number, since it uses less digits than its factorization.

144747216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7193 (or 7181 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 144747216 is about 12031.0937158681. The cubic root of 144747216 is about 525.0533170341.

The spelling of 144747216 in words is "one hundred forty-four million, seven hundred forty-seven thousand, two hundred sixteen".