136213069824 has 384 divisors, whose sum is σ = 437501174400. Its totient is φ = 41865707520.

The previous prime is 136213069777. The next prime is 136213069829. The reversal of 136213069824 is 428960312631.

136213069824 is a `hidden beast` number, since 13 + 621 + 3 + 0 + 6 + 9 + 8 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 136213069824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136213069829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149519929 + ... + 149520839.

It is an arithmetic number, because the mean of its divisors is an integer number (1139325975).

Almost surely, 2^136213069824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136213069824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218750587200).

136213069824 is an abundant number, since it is smaller than the sum of its proper divisors (301288104576).

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

136213069824 is an frugal number, since it uses more digits than its factorization.

136213069824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 136213069824 in words is "one hundred thirty-six billion, two hundred thirteen million, sixty-nine thousand, eight hundred twenty-four".