181135136 has 96 divisors (see below), whose sum is σ = 464849280. Its totient is φ = 67424256.

The previous prime is 181135109. The next prime is 181135183. The reversal of 181135136 is 631531181.

181135136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 181135099 and 181135108.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47675 + ... + 51333.

It is an arithmetic number, because the mean of its divisors is an integer number (4842180).

Almost surely, 2^181135136 is an apocalyptic number.

181135136 is a gapful number since it is divisible by the number (16) 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 181135136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232424640).

181135136 is an abundant number, since it is smaller than the sum of its proper divisors (283714144).

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

181135136 is a wasteful number, since it uses less digits than its factorization.

181135136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3706 (or 3698 counting only the distinct ones).

The product of its digits is 2160, while the sum is 29.

The square root of 181135136 is about 13458.6453998907. The cubic root of 181135136 is about 565.8060242536.

The spelling of 181135136 in words is "one hundred eighty-one million, one hundred thirty-five thousand, one hundred thirty-six".