136861131617280 has 2112 divisors, whose sum is σ = 600108361320960. Its totient is φ = 29429858304000.

The previous prime is 136861131617233. The next prime is 136861131617281. The reversal of 136861131617280 is 82716131168631.

136861131617280 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 6 + 1 + 13 + 1 + 617 + 2 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136861131617281) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9503578080 + ... + 9503592480.

Almost surely, 2^{136861131617280} is an apocalyptic number.

136861131617280 is a gapful number since it is divisible by the number (10) 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 136861131617280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300054180660480).

136861131617280 is an abundant number, since it is smaller than the sum of its proper divisors (463247229703680).

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

136861131617280 is a wasteful number, since it uses less digits than its factorization.

136861131617280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14533 (or 14502 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 136861131617280 in words is "one hundred thirty-six trillion, eight hundred sixty-one billion, one hundred thirty-one million, six hundred seventeen thousand, two hundred eighty".