305136 has 60 divisors (see below), whose sum is σ = 925288. Its totient is φ = 93312.

The previous prime is 305131. The next prime is 305143. The reversal of 305136 is 631503.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 305136.

It is not an unprimeable number, because it can be changed into a prime (305131) by changing a digit.

305136 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1791 + ... + 1953.

2³⁰⁵¹³⁶ is an apocalyptic number.

305136 is a gapful number since it is divisible by the number (36) 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 305136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462644).

305136 is an abundant number, since it is smaller than the sum of its proper divisors (620152).

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

305136 is a wasteful number, since it uses less digits than its factorization.

305136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 305136 is about 552.3911657512. The cubic root of 305136 is about 67.3231585013.

Adding to 305136 its reverse (631503), we get a palindrome (936639).

It can be divided in two parts, 305 and 136, that added together give a square (441 = 21²).

The spelling of 305136 in words is "three hundred five thousand, one hundred thirty-six".