136014833143872 has 280 divisors, whose sum is σ = 417957658392384. Its totient is φ = 43700641993728.

The previous prime is 136014833143859. The next prime is 136014833143873. The reversal of 136014833143872 is 278341338410631.

136014833143872 is a `hidden beast` number, since 1 + 3 + 60 + 1 + 4 + 83 + 3 + 1 + 438 + 72 = 666.

136014833143872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×136014833143872² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (136014833143873) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17209813 + ... + 23837099.

Almost surely, 2^{136014833143872} is an apocalyptic number.

136014833143872 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 136014833143872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208978829196192).

136014833143872 is an abundant number, since it is smaller than the sum of its proper divisors (281942825248512).

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

136014833143872 is a wasteful number, since it uses less digits than its factorization.

136014833143872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6627455 (or 6627436 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 136014833143872 in words is "one hundred thirty-six trillion, fourteen billion, eight hundred thirty-three million, one hundred forty-three thousand, eight hundred seventy-two".