136631226816 has 168 divisors, whose sum is σ = 467249652240. Its totient is φ = 39037469184.

The previous prime is 136631226811. The next prime is 136631226833. The reversal of 136631226816 is 618622136631.

136631226816 is a `hidden beast` number, since 1 + 3 + 6 + 631 + 2 + 2 + 6 + 8 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136631226811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 722155 + ... + 891498.

It is an arithmetic number, because the mean of its divisors is an integer number (2781247930).

Almost surely, 2^136631226816 is an apocalyptic number.

136631226816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

136631226816 is an abundant number, since it is smaller than the sum of its proper divisors (330618425424).

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

136631226816 is a wasteful number, since it uses less digits than its factorization.

136631226816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613688 (or 1613665 counting only the distinct ones).

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

The spelling of 136631226816 in words is "one hundred thirty-six billion, six hundred thirty-one million, two hundred twenty-six thousand, eight hundred sixteen".