136328685120 has 448 divisors, whose sum is σ = 504924364800. Its totient is φ = 34581288960.

The previous prime is 136328685041. The next prime is 136328685137. The reversal of 136328685120 is 21586823631.

136328685120 is a `hidden beast` number, since 1 + 3 + 632 + 8 + 6 + 8 + 5 + 1 + 2 + 0 = 666.

136328685120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15798247 + ... + 15806873.

Almost surely, 2^136328685120 is an apocalyptic number.

136328685120 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 136328685120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252462182400).

136328685120 is an abundant number, since it is smaller than the sum of its proper divisors (368595679680).

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

136328685120 is a wasteful number, since it uses less digits than its factorization.

136328685120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8743 (or 8727 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 136328685120 in words is "one hundred thirty-six billion, three hundred twenty-eight million, six hundred eighty-five thousand, one hundred twenty".