144641206125 has 72 divisors (see below), whose sum is σ = 282340005480. Its totient is φ = 71207884800.

The previous prime is 144641206103. The next prime is 144641206211. The reversal of 144641206125 is 521602146441.

144641206125 is a `hidden beast` number, since 1 + 4 + 4 + 641 + 2 + 0 + 6 + 1 + 2 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 117740941956 + 26900264169 = 343134^2 + 164013^2 .

It is not a de Polignac number, because 144641206125 - 2⁸ = 144641205869 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 144641206125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 190260 + ... + 570509.

It is an arithmetic number, because the mean of its divisors is an integer number (3921388965).

Almost surely, 2^144641206125 is an apocalyptic number.

144641206125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144641206125 is a deficient number, since it is larger than the sum of its proper divisors (137698799355).

144641206125 is a wasteful number, since it uses less digits than its factorization.

144641206125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760816 (or 760790 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 144641206125 in words is "one hundred forty-four billion, six hundred forty-one million, two hundred six thousand, one hundred twenty-five".