144195120 has 160 divisors (see below), whose sum is σ = 500533440. Its totient is φ = 38154240.

The previous prime is 144195091. The next prime is 144195127. The reversal of 144195120 is 21591441.

144195120 is a `hidden beast` number, since 144 + 1 + 9 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (144195127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 520422 + ... + 520698.

It is an arithmetic number, because the mean of its divisors is an integer number (3128334).

Almost surely, 2^144195120 is an apocalyptic number.

144195120 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 144195120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250266720).

144195120 is an abundant number, since it is smaller than the sum of its proper divisors (356338320).

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

144195120 is a wasteful number, since it uses less digits than its factorization.

144195120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 144195120 is about 12008.1272478268. The cubic root of 144195120 is about 524.3849123004.

The spelling of 144195120 in words is "one hundred forty-four million, one hundred ninety-five thousand, one hundred twenty".