136805760 has 640 divisors, whose sum is σ = 622036800. Its totient is φ = 27869184.

The previous prime is 136805741. The next prime is 136805827. The reversal of 136805760 is 67508631.

136805760 is a `hidden beast` number, since 1 + 3 + 6 + 80 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 4717426 + ... + 4717454.

Almost surely, 2^136805760 is an apocalyptic number.

136805760 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 136805760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311018400).

136805760 is an abundant number, since it is smaller than the sum of its proper divisors (485231040).

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

136805760 is a wasteful number, since it uses less digits than its factorization.

136805760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 136805760 is about 11696.3994459834. The cubic root of 136805760 is about 515.2699247966.

The spelling of 136805760 in words is "one hundred thirty-six million, eight hundred five thousand, seven hundred sixty".