136047314475072 has 2688 divisors, whose sum is σ = 574249216020480. Its totient is φ = 29617139220480.

The previous prime is 136047314475043. The next prime is 136047314475103. The reversal of 136047314475072 is 270574413740631.

It is a happy number.

136047314475072 is a `hidden beast` number, since 1 + 3 + 6 + 0 + 473 + 14 + 47 + 50 + 72 = 666.

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, 34982593704 + ... + 34982597592.

It is an arithmetic number, because the mean of its divisors is an integer number (213634380960).

Almost surely, 2^{136047314475072} is an apocalyptic number.

136047314475072 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 136047314475072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287124608010240).

136047314475072 is an abundant number, since it is smaller than the sum of its proper divisors (438201901545408).

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

136047314475072 is a wasteful number, since it uses less digits than its factorization.

136047314475072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4081 (or 4068 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 136047314475072 in words is "one hundred thirty-six trillion, forty-seven billion, three hundred fourteen million, four hundred seventy-five thousand, seventy-two".