136214410829112 has 1536 divisors, whose sum is σ = 506668990464000. Its totient is φ = 34232148720000.

The previous prime is 136214410829089. The next prime is 136214410829197. The reversal of 136214410829112 is 211928014412631.

It is a happy number.

136214410829112 is a `hidden beast` number, since 1 + 3 + 6 + 214 + 410 + 8 + 2 + 9 + 1 + 12 = 666.

It is a congruent number.

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, 27512502237 + ... + 27512507187.

It is an arithmetic number, because the mean of its divisors is an integer number (329862624000).

Almost surely, 2^{136214410829112} is an apocalyptic number.

136214410829112 is a gapful number since it is divisible by the number (12) 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 136214410829112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253334495232000).

136214410829112 is an abundant number, since it is smaller than the sum of its proper divisors (370454579634888).

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

136214410829112 is an equidigital number, since it uses as much as digits as its factorization.

136214410829112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5057 (or 5005 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 136214410829112 in words is "one hundred thirty-six trillion, two hundred fourteen billion, four hundred ten million, eight hundred twenty-nine thousand, one hundred twelve".