136181713894560 has 384 divisors, whose sum is σ = 481166327980800. Its totient is φ = 35970062929920.

The previous prime is 136181713894559. The next prime is 136181713894613. The reversal of 136181713894560 is 65498317181631.

136181713894560 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 8 + 171 + 3 + 8 + 9 + 456 + 0 = 666.

136181713894560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3507919950 + ... + 3507958770.

It is an arithmetic number, because the mean of its divisors is an integer number (1253037312450).

Almost surely, 2^{136181713894560} is an apocalyptic number.

136181713894560 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 136181713894560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240583163990400).

136181713894560 is an abundant number, since it is smaller than the sum of its proper divisors (344984614086240).

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

136181713894560 is a wasteful number, since it uses less digits than its factorization.

136181713894560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46541 (or 46527 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 136181713894560 in words is "one hundred thirty-six trillion, one hundred eighty-one billion, seven hundred thirteen million, eight hundred ninety-four thousand, five hundred sixty".