136430626706253 has 96 divisors (see below), whose sum is σ = 218155832993280. Its totient is φ = 81468840960000.

The previous prime is 136430626706237. The next prime is 136430626706261. The reversal of 136430626706253 is 352607626034631.

136430626706253 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 3 + 0 + 6 + 2 + 6 + 7 + 0 + 625 + 3 = 666.

It is not a de Polignac number, because 136430626706253 - 2⁴ = 136430626706237 is a prime.

It is a super-2 number, since 2×136430626706253² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 136430626706253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136430626706263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15572490393 + ... + 15572499153.

It is an arithmetic number, because the mean of its divisors is an integer number (2272456593680).

Almost surely, 2^{136430626706253} is an apocalyptic number.

It is an amenable number.

136430626706253 is a deficient number, since it is larger than the sum of its proper divisors (81725206287027).

136430626706253 is a wasteful number, since it uses less digits than its factorization.

136430626706253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12771 (or 12768 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 54.

The spelling of 136430626706253 in words is "one hundred thirty-six trillion, four hundred thirty billion, six hundred twenty-six million, seven hundred six thousand, two hundred fifty-three".