144241920 has 216 divisors, whose sum is σ = 526125600. Its totient is φ = 36384768.

The previous prime is 144241897. The next prime is 144241927. The reversal of 144241920 is 29142441.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144241927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218551 + ... + 219209.

Almost surely, 2^144241920 is an apocalyptic number.

144241920 is a gapful number since it is divisible by the number (10) 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 144241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263062800).

144241920 is an abundant number, since it is smaller than the sum of its proper divisors (381883680).

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

144241920 is a wasteful number, since it uses less digits than its factorization.

144241920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 144241920 is about 12010.0757699525. The cubic root of 144241920 is about 524.4416376583.

It can be divided in two parts, 144241 and 920, that added together give a square (145161 = 381²).

The spelling of 144241920 in words is "one hundred forty-four million, two hundred forty-one thousand, nine hundred twenty".