136113120 has 288 divisors, whose sum is σ = 546515424. Its totient is φ = 30412800.

The previous prime is 136113097. The next prime is 136113137. The reversal of 136113120 is 21311631.

136113120 is a `hidden beast` number, since 1 + 3 + 611 + 31 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×136113120² = 37053562872268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 136113093 and 136113102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205590 + ... + 206250.

It is an arithmetic number, because the mean of its divisors is an integer number (1897623).

Almost surely, 2^136113120 is an apocalyptic number.

136113120 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 136113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273257712).

136113120 is an abundant number, since it is smaller than the sum of its proper divisors (410402304).

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

136113120 is a wasteful number, since it uses less digits than its factorization.

136113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 136113120 is about 11666.7527615871. The cubic root of 136113120 is about 514.3988587039.

Adding to 136113120 its reverse (21311631), we get a palindrome (157424751).

The spelling of 136113120 in words is "one hundred thirty-six million, one hundred thirteen thousand, one hundred twenty".