144102145406560 has 96 divisors (see below), whose sum is σ = 373442411500704. Its totient is φ = 52111272960000.

The previous prime is 144102145406551. The next prime is 144102145406599. The reversal of 144102145406560 is 65604541201441.

It is a happy number.

It is a super-2 number, since 2×144102145406560² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225858841 + ... + 226495960.

It is an arithmetic number, because the mean of its divisors is an integer number (3890025119799).

Almost surely, 2^{144102145406560} is an apocalyptic number.

144102145406560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144102145406560 is an abundant number, since it is smaller than the sum of its proper divisors (229340266094144).

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

144102145406560 is a wasteful number, since it uses less digits than its factorization.

144102145406560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452355008 (or 452355000 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 43.

The spelling of 144102145406560 in words is "one hundred forty-four trillion, one hundred two billion, one hundred forty-five million, four hundred six thousand, five hundred sixty".