136856160 has 144 divisors (see below), whose sum is σ = 533778336. Its totient is φ = 31279104.

The previous prime is 136856147. The next prime is 136856177. The reversal of 136856160 is 61658631.

It is a happy number.

136856160 is a `hidden beast` number, since 1 + 36 + 8 + 5 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3292 + ... + 16868.

It is an arithmetic number, because the mean of its divisors is an integer number (3706794).

Almost surely, 2^136856160 is an apocalyptic number.

136856160 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 136856160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266889168).

136856160 is an abundant number, since it is smaller than the sum of its proper divisors (396922176).

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

136856160 is a wasteful number, since it uses less digits than its factorization.

136856160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13605 (or 13594 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 136856160 is about 11698.5537567684. The cubic root of 136856160 is about 515.3331931262. Note that the first 3 decimals are identical.

The spelling of 136856160 in words is "one hundred thirty-six million, eight hundred fifty-six thousand, one hundred sixty".