136481675760 has 400 divisors, whose sum is σ = 490222811232. Its totient is φ = 35168256000.

The previous prime is 136481675747. The next prime is 136481675777. The reversal of 136481675760 is 67576184631.

136481675760 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 8 + 1 + 67 + 576 + 0 = 666.

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 = 136481675697 and 136481675706.

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, 28425360 + ... + 28430160.

Almost surely, 2^136481675760 is an apocalyptic number.

136481675760 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 136481675760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245111405616).

136481675760 is an abundant number, since it is smaller than the sum of its proper divisors (353741135472).

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

136481675760 is a wasteful number, since it uses less digits than its factorization.

136481675760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4974 (or 4959 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 136481675760 in words is "one hundred thirty-six billion, four hundred eighty-one million, six hundred seventy-five thousand, seven hundred sixty".