153102348117 has 24 divisors (see below), whose sum is σ = 222270264216. Its totient is φ = 101551128576.

The previous prime is 153102348079. The next prime is 153102348229. The reversal of 153102348117 is 711843201351.

153102348117 is a `hidden beast` number, since 1 + 531 + 0 + 2 + 3 + 4 + 8 + 117 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 48617604036 + 104484744081 = 220494^2 + 323241^2 .

It is not a de Polignac number, because 153102348117 - 2⁶ = 153102348053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153102343117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1943623 + ... + 2020859.

It is an arithmetic number, because the mean of its divisors is an integer number (9261261009).

Almost surely, 2^153102348117 is an apocalyptic number.

It is an amenable number.

153102348117 is a deficient number, since it is larger than the sum of its proper divisors (69167916099).

153102348117 is a wasteful number, since it uses less digits than its factorization.

153102348117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78357 (or 78354 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Adding to 153102348117 its reverse (711843201351), we get a palindrome (864945549468).

The spelling of 153102348117 in words is "one hundred fifty-three billion, one hundred two million, three hundred forty-eight thousand, one hundred seventeen".