144195240 has 192 divisors, whose sum is σ = 509716800. Its totient is φ = 32535552.

The previous prime is 144195239. The next prime is 144195251. The reversal of 144195240 is 42591441.

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 = 144195198 and 144195207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 805471 + ... + 805649.

It is an arithmetic number, because the mean of its divisors is an integer number (2654775).

Almost surely, 2^144195240 is an apocalyptic number.

144195240 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 144195240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254858400).

144195240 is an abundant number, since it is smaller than the sum of its proper divisors (365521560).

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

144195240 is a wasteful number, since it uses less digits than its factorization.

144195240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 144195240 is about 12008.1322444417. The cubic root of 144195240 is about 524.3850577658.

The spelling of 144195240 in words is "one hundred forty-four million, one hundred ninety-five thousand, two hundred forty".