144476640 has 288 divisors, whose sum is σ = 615154176. Its totient is φ = 29998080.

The previous prime is 144476623. The next prime is 144476641. The reversal of 144476640 is 46674441.

144476640 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 7 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 144476595 and 144476604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144476641) 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 47 ways as a sum of consecutive naturals, for example, 110229 + ... + 111531.

It is an arithmetic number, because the mean of its divisors is an integer number (2135952).

Almost surely, 2^144476640 is an apocalyptic number.

144476640 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 144476640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307577088).

144476640 is an abundant number, since it is smaller than the sum of its proper divisors (470677536).

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

144476640 is a wasteful number, since it uses less digits than its factorization.

144476640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 144476640 is about 12019.8435929924. The cubic root of 144476640 is about 524.7259522112.

The spelling of 144476640 in words is "one hundred forty-four million, four hundred seventy-six thousand, six hundred forty".