136312616492208 has 1920 divisors, whose sum is σ = 487724623626240. Its totient is φ = 35052466176000.

The previous prime is 136312616492119. The next prime is 136312616492263. The reversal of 136312616492208 is 802294616213631.

It is a happy number.

136312616492208 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 12 + 616 + 4 + 9 + 2 + 2 + 0 + 8 = 666.

It is a super-2 number, since 2×136312616492208² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 105586844043 + ... + 105586845333.

It is an arithmetic number, because the mean of its divisors is an integer number (254023241472).

Almost surely, 2^{136312616492208} is an apocalyptic number.

136312616492208 is a gapful number since it is divisible by the number (18) 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 136312616492208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243862311813120).

136312616492208 is an abundant number, since it is smaller than the sum of its proper divisors (351412007134032).

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

136312616492208 is a wasteful number, since it uses less digits than its factorization.

136312616492208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559 (or 1550 counting only the distinct ones).

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

The spelling of 136312616492208 in words is "one hundred thirty-six trillion, three hundred twelve billion, six hundred sixteen million, four hundred ninety-two thousand, two hundred eight".