144605307840 has 112 divisors (see below), whose sum is σ = 524710712832. Its totient is φ = 33052640256.

The previous prime is 144605307829. The next prime is 144605307851. The reversal of 144605307840 is 48703506441.

It is an interprime number because it is at equal distance from previous prime (144605307829) and next prime (144605307851).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 144605307792 and 144605307801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10752604 + ... + 10766043.

Almost surely, 2^144605307840 is an apocalyptic number.

144605307840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144605307840 is an abundant number, since it is smaller than the sum of its proper divisors (380105404992).

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

144605307840 is a wasteful number, since it uses less digits than its factorization.

144605307840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21518674 (or 21518664 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 144605307840 in words is "one hundred forty-four billion, six hundred five million, three hundred seven thousand, eight hundred forty".