136861771894848 has 1344 divisors, whose sum is σ = 544587812259840. Its totient is φ = 32729221324800.

The previous prime is 136861771894777. The next prime is 136861771894889. The reversal of 136861771894848 is 848498177168631.

136861771894848 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 61 + 7 + 71 + 8 + 9 + 484 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×136861771894848² (a number of 29 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8927118543 + ... + 8927133873.

Almost surely, 2^{136861771894848} is an apocalyptic number.

136861771894848 is a gapful number since it is divisible by the number (18) 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 136861771894848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272293906129920).

136861771894848 is an abundant number, since it is smaller than the sum of its proper divisors (407726040364992).

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

136861771894848 is a wasteful number, since it uses less digits than its factorization.

136861771894848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15793 (or 15764 counting only the distinct ones).

The product of its digits is 3121348608, while the sum is 81.

The spelling of 136861771894848 in words is "one hundred thirty-six trillion, eight hundred sixty-one billion, seven hundred seventy-one million, eight hundred ninety-four thousand, eight hundred forty-eight".