136853383680 has 1280 divisors, whose sum is σ = 574163251200. Its totient is φ = 30682644480.

The previous prime is 136853383669. The next prime is 136853383717. The reversal of 136853383680 is 86383358631.

It is a happy number.

136853383680 is a `hidden beast` number, since 13 + 68 + 533 + 8 + 36 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4414625265 + ... + 4414625295.

It is an arithmetic number, because the mean of its divisors is an integer number (448565040).

Almost surely, 2^136853383680 is an apocalyptic number.

136853383680 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 136853383680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287081625600).

136853383680 is an abundant number, since it is smaller than the sum of its proper divisors (437309867520).

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

136853383680 is an equidigital number, since it uses as much as digits as its factorization.

136853383680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 136853383680 in words is "one hundred thirty-six billion, eight hundred fifty-three million, three hundred eighty-three thousand, six hundred eighty".