144366240 has 96 divisors (see below), whose sum is σ = 461643840. Its totient is φ = 37923072.

The previous prime is 144366221. The next prime is 144366241. The reversal of 144366240 is 42663441.

144366240 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×144366240² = 41683222503475200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 144366198 and 144366207.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 670 × 402 × 536.

It is not an unprimeable number, because it can be changed into a prime (144366241) 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, 2154687 + ... + 2154753.

It is an arithmetic number, because the mean of its divisors is an integer number (4808790).

Almost surely, 2^144366240 is an apocalyptic number.

144366240 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 144366240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230821920).

144366240 is an abundant number, since it is smaller than the sum of its proper divisors (317277600).

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

144366240 is an frugal number, since it uses more digits than its factorization.

144366240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 144366240 is about 12015.2503095025. The cubic root of 144366240 is about 524.5922639166.

The spelling of 144366240 in words is "one hundred forty-four million, three hundred sixty-six thousand, two hundred forty".