144512132145140 has 96 divisors (see below), whose sum is σ = 312654106905504. Its totient is φ = 56066388295680.

The previous prime is 144512132145133. The next prime is 144512132145181. The reversal of 144512132145140 is 41541231215441.

It can be written as a sum of positive squares in 16 ways, for example, as 1518272481124 + 142993859664016 = 1232182^2 + 11958004^2 .

It is a junction number, because it is equal to n+sod(n) for n = 144512132145094 and 144512132145103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1616187074 + ... + 1616276486.

It is an arithmetic number, because the mean of its divisors is an integer number (3256813613599).

Almost surely, 2^{144512132145140} is an apocalyptic number.

144512132145140 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 144512132145140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156327053452752).

144512132145140 is an abundant number, since it is smaller than the sum of its proper divisors (168141974760364).

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

144512132145140 is a wasteful number, since it uses less digits than its factorization.

144512132145140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96277 (or 96275 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 38.

The spelling of 144512132145140 in words is "one hundred forty-four trillion, five hundred twelve billion, one hundred thirty-two million, one hundred forty-five thousand, one hundred forty".