136337809386996 has 216 divisors, whose sum is σ = 412202817824616. Its totient is φ = 37857625827840.

The previous prime is 136337809386973. The next prime is 136337809387007. The reversal of 136337809386996 is 699683908733631.

It is a happy number.

136337809386996 is a `hidden beast` number, since 1 + 36 + 337 + 8 + 0 + 93 + 86 + 9 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 95720590016100 + 40617219370896 = 9783690^2 + 6373164^2 .

It is a super-2 number, since 2×136337809386996² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56049106 + ... + 58430966.

Almost surely, 2^{136337809386996} 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 136337809386996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206101408912308).

136337809386996 is an abundant number, since it is smaller than the sum of its proper divisors (275865008437620).

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

136337809386996 is a wasteful number, since it uses less digits than its factorization.

136337809386996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2382799 (or 2382787 counting only the distinct ones).

The product of its (nonzero) digits is 5714053632, while the sum is 81.

The spelling of 136337809386996 in words is "one hundred thirty-six trillion, three hundred thirty-seven billion, eight hundred nine million, three hundred eighty-six thousand, nine hundred ninety-six".