136061586144 has 288 divisors, whose sum is σ = 439187374080. Its totient is φ = 39582950400.

The previous prime is 136061586127. The next prime is 136061586149. The reversal of 136061586144 is 441685160631.

136061586144 is a `hidden beast` number, since 1 + 3 + 6 + 0 + 61 + 586 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×136061586144² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 136061586144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136061586149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12466962 + ... + 12477870.

It is an arithmetic number, because the mean of its divisors is an integer number (1524956160).

Almost surely, 2^136061586144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136061586144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219593687040).

136061586144 is an abundant number, since it is smaller than the sum of its proper divisors (303125787936).

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

136061586144 is a wasteful number, since it uses less digits than its factorization.

136061586144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11094 (or 11083 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 136061586144 in words is "one hundred thirty-six billion, sixty-one million, five hundred eighty-six thousand, one hundred forty-four".