136688239296 has 504 divisors, whose sum is σ = 464504623440. Its totient is φ = 38313160704.

The previous prime is 136688239279. The next prime is 136688239297. The reversal of 136688239296 is 692932886631.

136688239296 is a `hidden beast` number, since 1 + 36 + 6 + 88 + 239 + 296 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (136688239297) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 482997171 + ... + 482997453.

Almost surely, 2^136688239296 is an apocalyptic number.

136688239296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136688239296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232252311720).

136688239296 is an abundant number, since it is smaller than the sum of its proper divisors (327816384144).

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

136688239296 is a wasteful number, since it uses less digits than its factorization.

136688239296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 561 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 63.

The spelling of 136688239296 in words is "one hundred thirty-six billion, six hundred eighty-eight million, two hundred thirty-nine thousand, two hundred ninety-six".