136405643292360 has 640 divisors, whose sum is σ = 503624480657760. Its totient is φ = 32908629196800.

The previous prime is 136405643292343. The next prime is 136405643292361. The reversal of 136405643292360 is 63292346504631.

136405643292360 is a `hidden beast` number, since 1 + 3 + 6 + 40 + 56 + 432 + 92 + 36 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 6460554064644 + 129945089227716 = 2541762^2 + 11399346^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 136405643292297 and 136405643292306.

It is not an unprimeable number, because it can be changed into a prime (136405643292361) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 721884454 + ... + 722073386.

Almost surely, 2^{136405643292360} is an apocalyptic number.

136405643292360 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 136405643292360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251812240328880).

136405643292360 is an abundant number, since it is smaller than the sum of its proper divisors (367218837365400).

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

136405643292360 is a wasteful number, since it uses less digits than its factorization.

136405643292360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189311 (or 189298 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 54.

Adding to 136405643292360 its reverse (63292346504631), we get a palindrome (199697989796991).

The spelling of 136405643292360 in words is "one hundred thirty-six trillion, four hundred five billion, six hundred forty-three million, two hundred ninety-two thousand, three hundred sixty".