136853584560 has 1920 divisors, whose sum is σ = 648491827200. Its totient is φ = 25866086400.

The previous prime is 136853584547. The next prime is 136853584613. The reversal of 136853584560 is 65485358631.

It is a happy number.

136853584560 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 5 + 3 + 584 + 56 + 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 = 136853584497 and 136853584506.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1077587217 + ... + 1077587343.

It is an arithmetic number, because the mean of its divisors is an integer number (337756160).

Almost surely, 2^136853584560 is an apocalyptic number.

136853584560 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 136853584560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324245913600).

136853584560 is an abundant number, since it is smaller than the sum of its proper divisors (511638242640).

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

136853584560 is a wasteful number, since it uses less digits than its factorization.

136853584560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 136853584560 in words is "one hundred thirty-six billion, eight hundred fifty-three million, five hundred eighty-four thousand, five hundred sixty".