136585940243760 has 1920 divisors, whose sum is σ = 582100576512000. Its totient is φ = 28588139274240.

The previous prime is 136585940243699. The next prime is 136585940243789. The reversal of 136585940243760 is 67342049585631.

136585940243760 is a `hidden beast` number, since 1 + 3 + 6 + 5 + 8 + 594 + 0 + 2 + 4 + 37 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 27257219655 + ... + 27257224665.

It is an arithmetic number, because the mean of its divisors is an integer number (303177383600).

It is a 1-persistent number, because it is pandigital, but 2⋅136585940243760 = 273171880487520 is not.

Almost surely, 2^{136585940243760} is an apocalyptic number.

136585940243760 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 136585940243760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291050288256000).

136585940243760 is an abundant number, since it is smaller than the sum of its proper divisors (445514636268240).

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

136585940243760 is a wasteful number, since it uses less digits than its factorization.

136585940243760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5264 (or 5241 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 136585940243760 in words is "one hundred thirty-six trillion, five hundred eighty-five billion, nine hundred forty million, two hundred forty-three thousand, seven hundred sixty".