144395820 has 72 divisors (see below), whose sum is σ = 461064240. Its totient is φ = 36478080.

The previous prime is 144395813. The next prime is 144395821. The reversal of 144395820 is 28593441.

144395820 is a `hidden beast` number, since 1 + 44 + 39 + 582 + 0 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (144395821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17691 + ... + 24530.

It is an arithmetic number, because the mean of its divisors is an integer number (6403670).

Almost surely, 2^144395820 is an apocalyptic number.

144395820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144395820 is an abundant number, since it is smaller than the sum of its proper divisors (316668420).

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

144395820 is a wasteful number, since it uses less digits than its factorization.

144395820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42255 (or 42250 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 144395820 is about 12016.4811821098. The cubic root of 144395820 is about 524.6280903432.

The spelling of 144395820 in words is "one hundred forty-four million, three hundred ninety-five thousand, eight hundred twenty".