136338370560 has 1040 divisors, whose sum is σ = 570879936000. Its totient is φ = 30480924672.

The previous prime is 136338370537. The next prime is 136338370607. The reversal of 136338370560 is 65073833631.

136338370560 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 3 + 83 + 7 + 0 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 685117341 + ... + 685117539.

Almost surely, 2^136338370560 is an apocalyptic number.

136338370560 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 136338370560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285439968000).

136338370560 is an abundant number, since it is smaller than the sum of its proper divisors (434541565440).

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

136338370560 is an equidigital number, since it uses as much as digits as its factorization.

136338370560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 136338370560 in words is "one hundred thirty-six billion, three hundred thirty-eight million, three hundred seventy thousand, five hundred sixty".