136072182414688 has 48 divisors (see below), whose sum is σ = 288602122069296. Its totient is φ = 62780139717120.

The previous prime is 136072182414677. The next prime is 136072182414703. The reversal of 136072182414688 is 886414281270631.

It is a happy number.

It is a super-2 number, since 2×136072182414688² (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 (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57181543 + ... + 59513638.

It is an arithmetic number, because the mean of its divisors is an integer number (6012544209777).

Almost surely, 2^{136072182414688} is an apocalyptic number.

It is an amenable number.

136072182414688 is an abundant number, since it is smaller than the sum of its proper divisors (152529939654608).

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

136072182414688 is a wasteful number, since it uses less digits than its factorization.

136072182414688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116698007 (or 116697999 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 61.

The spelling of 136072182414688 in words is "one hundred thirty-six trillion, seventy-two billion, one hundred eighty-two million, four hundred fourteen thousand, six hundred eighty-eight".