144302014001020 has 96 divisors (see below), whose sum is σ = 328668561059328. Its totient is φ = 53071793102592.

The previous prime is 144302014001017. The next prime is 144302014001027. The reversal of 144302014001020 is 20100410203441.

It is a happy number.

It is a super-3 number, since 3×144302014001020³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 144302014000982 and 144302014001000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144302014001027) 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, 49661914 + ... + 52487233.

It is an arithmetic number, because the mean of its divisors is an integer number (3423630844368).

Almost surely, 2^{144302014001020} is an apocalyptic number.

144302014001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144302014001020 is an abundant number, since it is smaller than the sum of its proper divisors (184366547058308).

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

144302014001020 is a wasteful number, since it uses less digits than its factorization.

144302014001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102149299 (or 102149297 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 144302014001020 its reverse (20100410203441), we get a palindrome (164402424204461).

The spelling of 144302014001020 in words is "one hundred forty-four trillion, three hundred two billion, fourteen million, one thousand, twenty".