136845447117120 has 2016 divisors, whose sum is σ = 615959059042080. Its totient is φ = 27655148666880.

The previous prime is 136845447117053. The next prime is 136845447117121. The reversal of 136845447117120 is 21711744548631.

136845447117120 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 4 + 5 + 447 + 1 + 171 + 20 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 21707896896 + 136823739220224 = 147336^2 + 11697168^2 .

It is a tau number, because it is divible by the number of its divisors (2016).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136845447117121) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2574143340 + ... + 2574196500.

Almost surely, 2^{136845447117120} is an apocalyptic number.

136845447117120 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 136845447117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307979529521040).

136845447117120 is an abundant number, since it is smaller than the sum of its proper divisors (479113611924960).

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

136845447117120 is a wasteful number, since it uses less digits than its factorization.

136845447117120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53281 (or 53261 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 136845447117120 in words is "one hundred thirty-six trillion, eight hundred forty-five billion, four hundred forty-seven million, one hundred seventeen thousand, one hundred twenty".