144513053345052 has 480 divisors, whose sum is σ = 450179919974400. Its totient is φ = 39566859678720.

The previous prime is 144513053345041. The next prime is 144513053345069. The reversal of 144513053345052 is 250543350315441.

144513053345052 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 1 + 305 + 334 + 5 + 0 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 144513053344989 and 144513053345007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2174305173 + ... + 2174371635.

It is an arithmetic number, because the mean of its divisors is an integer number (937874833280).

Almost surely, 2^{144513053345052} is an apocalyptic number.

144513053345052 is a gapful number since it is divisible by the number (12) 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 144513053345052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225089959987200).

144513053345052 is an abundant number, since it is smaller than the sum of its proper divisors (305666866629348).

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

144513053345052 is a wasteful number, since it uses less digits than its factorization.

144513053345052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66943 (or 66932 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

The spelling of 144513053345052 in words is "one hundred forty-four trillion, five hundred thirteen billion, fifty-three million, three hundred forty-five thousand, fifty-two".