136906308864 has 864 divisors, whose sum is σ = 469313388544. Its totient is φ = 39504568320.

The previous prime is 136906308863. The next prime is 136906308871. The reversal of 136906308864 is 468803609631.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 136906308864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136906308863) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1078002369 + ... + 1078002495.

Almost surely, 2^136906308864 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 136906308864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234656694272).

136906308864 is an abundant number, since it is smaller than the sum of its proper divisors (332407079680).

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

136906308864 is a wasteful number, since it uses less digits than its factorization.

136906308864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 136906308864 in words is "one hundred thirty-six billion, nine hundred six million, three hundred eight thousand, eight hundred sixty-four".