144152651353113 has 48 divisors (see below), whose sum is σ = 224922708738000. Its totient is φ = 88438456364544.

The previous prime is 144152651353111. The next prime is 144152651353129. The reversal of 144152651353113 is 311353156251441.

144152651353113 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 52 + 6 + 51 + 3 + 531 + 13 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 63022513123584 + 81130138229529 = 7938672^2 + 9007227^2 .

It is not a de Polignac number, because 144152651353113 - 2¹ = 144152651353111 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144152651353111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93400983 + ... + 94931811.

It is an arithmetic number, because the mean of its divisors is an integer number (4685889765375).

Almost surely, 2^{144152651353113} is an apocalyptic number.

144152651353113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

144152651353113 is a deficient number, since it is larger than the sum of its proper divisors (80770057384887).

144152651353113 is a wasteful number, since it uses less digits than its factorization.

144152651353113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533306 (or 1533303 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The spelling of 144152651353113 in words is "one hundred forty-four trillion, one hundred fifty-two billion, six hundred fifty-one million, three hundred fifty-three thousand, one hundred thirteen".