136570427136 has 1080 divisors, whose sum is σ = 497358671040. Its totient is φ = 37006295040.

The previous prime is 136570427101. The next prime is 136570427167. The reversal of 136570427136 is 631724075631.

136570427136 is a `hidden beast` number, since 1 + 3 + 6 + 570 + 4 + 2 + 71 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 136570427091 and 136570427100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1728739545 + ... + 1728739623.

It is an arithmetic number, because the mean of its divisors is an integer number (460517288).

Almost surely, 2^136570427136 is an apocalyptic number.

136570427136 is a gapful number since it is divisible by the number (16) 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 136570427136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248679335520).

136570427136 is an abundant number, since it is smaller than the sum of its proper divisors (360788243904).

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

136570427136 is a wasteful number, since it uses less digits than its factorization.

136570427136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 136570427136 in words is "one hundred thirty-six billion, five hundred seventy million, four hundred twenty-seven thousand, one hundred thirty-six".