144154140412100 has 216 divisors, whose sum is σ = 392085265952520. Its totient is φ = 45598219591680.

The previous prime is 144154140412099. The next prime is 144154140412109. The reversal of 144154140412100 is 1214041451441.

It can be written as a sum of positive squares in 12 ways, for example, as 38151301702276 + 106002838709824 = 6176674^2 + 10295768^2 .

It is not an unprimeable number, because it can be changed into a prime (144154140412109) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 119730302 + ... + 120928298.

It is an arithmetic number, because the mean of its divisors is an integer number (1815209564595).

Almost surely, 2^{144154140412100} is an apocalyptic number.

144154140412100 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 144154140412100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196042632976260).

144154140412100 is an abundant number, since it is smaller than the sum of its proper divisors (247931125540420).

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

144154140412100 is a wasteful number, since it uses less digits than its factorization.

144154140412100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199927 (or 1199913 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

Adding to 144154140412100 its reverse (1214041451441), we get a palindrome (145368181863541).

The spelling of 144154140412100 in words is "one hundred forty-four trillion, one hundred fifty-four billion, one hundred forty million, four hundred twelve thousand, one hundred".