144451115101300 has 144 divisors (see below), whose sum is σ = 367140361512960. Its totient is φ = 48296541312000.

The previous prime is 144451115101261. The next prime is 144451115101351. The reversal of 144451115101300 is 3101511154441.

It is a super-2 number, since 2×144451115101300² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63135330 + ... + 65383270.

It is an arithmetic number, because the mean of its divisors is an integer number (2549585843840).

Almost surely, 2^{144451115101300} is an apocalyptic number.

144451115101300 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 144451115101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183570180756480).

144451115101300 is an abundant number, since it is smaller than the sum of its proper divisors (222689246411660).

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

144451115101300 is a wasteful number, since it uses less digits than its factorization.

144451115101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250242 (or 2250235 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 31.

Adding to 144451115101300 its reverse (3101511154441), we get a palindrome (147552626255741).

The spelling of 144451115101300 in words is "one hundred forty-four trillion, four hundred fifty-one billion, one hundred fifteen million, one hundred one thousand, three hundred".