11371136 has 80 divisors (see below), whose sum is σ = 27141690. Its totient is φ = 4741632.

The previous prime is 11371123. The next prime is 11371153. The reversal of 11371136 is 63117311.

It can be written as a sum of positive squares in only one way, i.e., 7529536 + 3841600 = 2744^2 + 1960^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 307310 + ... + 307346.

Almost surely, 2^11371136 is an apocalyptic number.

11371136 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 11371136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13570845).

11371136 is an abundant number, since it is smaller than the sum of its proper divisors (15770554).

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

11371136 is an frugal number, since it uses more digits than its factorization.

11371136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 46 counting only the distinct ones).

The product of its digits is 378, while the sum is 23.

The square root of 11371136 is about 3372.1115046807. Note that the first 3 decimals coincide. The cubic root of 11371136 is about 224.8716041113.

Adding to 11371136 its reverse (63117311), we get a palindrome (74488447).

The spelling of 11371136 in words is "eleven million, three hundred seventy-one thousand, one hundred thirty-six".