144106620533340 has 192 divisors, whose sum is σ = 430134414151680. Its totient is φ = 35964332293120.

The previous prime is 144106620533287. The next prime is 144106620533347. The reversal of 144106620533340 is 43335026601441.

144106620533340 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 = 144106620533292 and 144106620533301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144106620533347) 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, 208569166 + ... + 209258954.

It is an arithmetic number, because the mean of its divisors is an integer number (2240283407040).

Almost surely, 2^{144106620533340} is an apocalyptic number.

144106620533340 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 144106620533340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215067207075840).

144106620533340 is an abundant number, since it is smaller than the sum of its proper divisors (286027793618340).

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

144106620533340 is a wasteful number, since it uses less digits than its factorization.

144106620533340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693092 (or 693090 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 144106620533340 in words is "one hundred forty-four trillion, one hundred six billion, six hundred twenty million, five hundred thirty-three thousand, three hundred forty".