144210300102000 has 480 divisors, whose sum is σ = 567825764950080. Its totient is φ = 34960071168000.

The previous prime is 144210300101927. The next prime is 144210300102047. The reversal of 144210300102000 is 201003012441.

144210300102000 is a `hidden beast` number, since 1 + 4 + 421 + 0 + 30 + 0 + 10 + 200 + 0 = 666.

It is a super-2 number, since 2×144210300102000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4501377 + ... + 17569376.

It is an arithmetic number, because the mean of its divisors is an integer number (1182970343646).

Almost surely, 2^{144210300102000} is an apocalyptic number.

144210300102000 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 144210300102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283912882475040).

144210300102000 is an abundant number, since it is smaller than the sum of its proper divisors (423615464848080).

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

144210300102000 is a wasteful number, since it uses less digits than its factorization.

144210300102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22070807 (or 22070774 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 144210300102000 its reverse (201003012441), we get a palindrome (144411303114441).

The spelling of 144210300102000 in words is "one hundred forty-four trillion, two hundred ten billion, three hundred million, one hundred two thousand".