264113136 has 150 divisors (see below), whose sum is σ = 889437120. Its totient is φ = 75442752.

The previous prime is 264113119. The next prime is 264113159. The reversal of 264113136 is 631311462.

264113136 is a `hidden beast` number, since 2 + 641 + 1 + 3 + 13 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 61425 + ... + 65583.

Almost surely, 2^264113136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264113136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444718560).

264113136 is an abundant number, since it is smaller than the sum of its proper divisors (625323984).

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

264113136 is a wasteful number, since it uses less digits than its factorization.

264113136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4193 (or 4171 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 264113136 is about 16251.5579560853. The cubic root of 264113136 is about 641.5984911957.

Adding to 264113136 its reverse (631311462), we get a palindrome (895424598).

The spelling of 264113136 in words is "two hundred sixty-four million, one hundred thirteen thousand, one hundred thirty-six".