144034000013020 has 192 divisors, whose sum is σ = 346503530419200. Its totient is φ = 49820737093632.

The previous prime is 144034000012999. The next prime is 144034000013021. The reversal of 144034000013020 is 20310000430441.

144034000013020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 144034000012982 and 144034000013000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144034000013021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11383381014 + ... + 11383393666.

It is an arithmetic number, because the mean of its divisors is an integer number (1804705887600).

Almost surely, 2^{144034000013020} is an apocalyptic number.

144034000013020 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 144034000013020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173251765209600).

144034000013020 is an abundant number, since it is smaller than the sum of its proper divisors (202469530406180).

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

144034000013020 is a wasteful number, since it uses less digits than its factorization.

144034000013020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24464 (or 24462 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 144034000013020 its reverse (20310000430441), we get a palindrome (164344000443461).

The spelling of 144034000013020 in words is "one hundred forty-four trillion, thirty-four billion, thirteen thousand, twenty".