136057841595936 has 288 divisors, whose sum is σ = 432501739488000. Its totient is φ = 41825962358784.

The previous prime is 136057841595917. The next prime is 136057841595947. The reversal of 136057841595936 is 639595148750631.

136057841595936 is a `hidden beast` number, since 1 + 3 + 6 + 0 + 578 + 4 + 15 + 9 + 5 + 9 + 36 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110889940 + ... + 112110188.

It is an arithmetic number, because the mean of its divisors is an integer number (1501742151000).

Almost surely, 2^{136057841595936} is an apocalyptic number.

136057841595936 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 136057841595936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216250869744000).

136057841595936 is an abundant number, since it is smaller than the sum of its proper divisors (296443897892064).

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

136057841595936 is a wasteful number, since it uses less digits than its factorization.

136057841595936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221390 (or 1221370 counting only the distinct ones).

The product of its (nonzero) digits is 734832000, while the sum is 72.

The spelling of 136057841595936 in words is "one hundred thirty-six trillion, fifty-seven billion, eight hundred forty-one million, five hundred ninety-five thousand, nine hundred thirty-six".