11355136 has 44 divisors (see below), whose sum is σ = 24473932. Its totient is φ = 5234688.

The previous prime is 11355119. The next prime is 11355137. The reversal of 11355136 is 63155311.

It can be written as a sum of positive squares in 2 ways, for example, as 1115136 + 10240000 = 1056^2 + 3200^2 .

It is a super-2 number, since 2×11355136² = 257878227156992, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11355136.

It is not an unprimeable number, because it can be changed into a prime (11355137) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 12886 + ... + 13738.

Almost surely, 2^11355136 is an apocalyptic number.

11355136 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 11355136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12236966).

11355136 is an abundant number, since it is smaller than the sum of its proper divisors (13118796).

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

11355136 is an equidigital number, since it uses as much as digits as its factorization.

11355136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 868 counting only the distinct ones).

The product of its digits is 1350, while the sum is 25.

The square root of 11355136 is about 3369.7382687681. The cubic root of 11355136 is about 224.7660844720.

The spelling of 11355136 in words is "eleven million, three hundred fifty-five thousand, one hundred thirty-six".