144164240 has 120 divisors (see below), whose sum is σ = 376710264. Its totient is φ = 51251200.

The previous prime is 144164231. The next prime is 144164243. The reversal of 144164240 is 42461441.

It can be written as a sum of positive squares in 4 ways, for example, as 36336784 + 107827456 = 6028^2 + 10384^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144164243) 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, 512900 + ... + 513180.

Almost surely, 2^144164240 is an apocalyptic number.

144164240 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 144164240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188355132).

144164240 is an abundant number, since it is smaller than the sum of its proper divisors (232546024).

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

144164240 is a wasteful number, since it uses less digits than its factorization.

144164240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 144164240 is about 12006.8413831449. The cubic root of 144164240 is about 524.3474765394.

The spelling of 144164240 in words is "one hundred forty-four million, one hundred sixty-four thousand, two hundred forty".