13811148 has 72 divisors (see below), whose sum is σ = 39025168. Its totient is φ = 4245696.

The previous prime is 13811131. The next prime is 13811159. The reversal of 13811148 is 84111831.

It is a super-3 number, since 3×13811148³ (a number of 22 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12090 + ... + 13182.

Almost surely, 2^13811148 is an apocalyptic number.

13811148 is a gapful number since it is divisible by the number (18) 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 13811148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19512584).

13811148 is an abundant number, since it is smaller than the sum of its proper divisors (25214020).

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

13811148 is a wasteful number, since it uses less digits than its factorization.

13811148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1111 counting only the distinct ones).

The product of its digits is 768, while the sum is 27.

The square root of 13811148 is about 3716.3352916549. The cubic root of 13811148 is about 239.9256019396.

Adding to 13811148 its reverse (84111831), we get a palindrome (97922979).

The spelling of 13811148 in words is "thirteen million, eight hundred eleven thousand, one hundred forty-eight".