136103783680 has 288 divisors, whose sum is σ = 354962593440. Its totient is φ = 49875517440.

The previous prime is 136103783677. The next prime is 136103783681. The reversal of 136103783680 is 86387301631.

It can be written as a sum of positive squares in 16 ways, for example, as 5094533376 + 131009250304 = 71376^2 + 361952^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 136103783680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136103783681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56309832 + ... + 56312248.

It is an arithmetic number, because the mean of its divisors is an integer number (1232509005).

Almost surely, 2^136103783680 is an apocalyptic number.

136103783680 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 136103783680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177481296720).

136103783680 is an abundant number, since it is smaller than the sum of its proper divisors (218858809760).

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

136103783680 is a wasteful number, since it uses less digits than its factorization.

136103783680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2545 (or 2531 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 136103783680 in words is "one hundred thirty-six billion, one hundred three million, seven hundred eighty-three thousand, six hundred eighty".