144785007840 has 192 divisors, whose sum is σ = 510981488640. Its totient is φ = 34150717440.

The previous prime is 144785007821. The next prime is 144785007841. The reversal of 144785007840 is 48700587441.

It is a super-2 number, since 2×144785007840² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 144785007840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144785007841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175200 + ... + 565919.

It is an arithmetic number, because the mean of its divisors is an integer number (2661361920).

Almost surely, 2^144785007840 is an apocalyptic number.

144785007840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144785007840 is an abundant number, since it is smaller than the sum of its proper divisors (366196480800).

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

144785007840 is a wasteful number, since it uses less digits than its factorization.

144785007840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741185 (or 741177 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 48.

The spelling of 144785007840 in words is "one hundred forty-four billion, seven hundred eighty-five million, seven thousand, eight hundred forty".