136409359680 has 252 divisors, whose sum is σ = 515724052116. Its totient is φ = 33068851200.

The previous prime is 136409359679. The next prime is 136409359717. The reversal of 136409359680 is 86953904631.

136409359680 is a `hidden beast` number, since 1 + 3 + 6 + 40 + 9 + 3 + 596 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49294656576 + 87114703104 = 222024^2 + 295152^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 152760 + ... + 544200.

Almost surely, 2^136409359680 is an apocalyptic number.

136409359680 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 136409359680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257862026058).

136409359680 is an abundant number, since it is smaller than the sum of its proper divisors (379314692436).

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

136409359680 is a wasteful number, since it uses less digits than its factorization.

136409359680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391486 (or 391462 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 136409359680 in words is "one hundred thirty-six billion, four hundred nine million, three hundred fifty-nine thousand, six hundred eighty".