13838148 has 48 divisors (see below), whose sum is σ = 36856960. Its totient is φ = 4486752.

The previous prime is 13838129. The next prime is 13838161. The reversal of 13838148 is 84183831.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2265 + ... + 5727.

Almost surely, 2^13838148 is an apocalyptic number.

13838148 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 13838148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18428480).

13838148 is an abundant number, since it is smaller than the sum of its proper divisors (23018812).

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

13838148 is a wasteful number, since it uses less digits than its factorization.

13838148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3513 (or 3505 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 13838148 is about 3719.9661288781. The cubic root of 13838148 is about 240.0818470846.

The spelling of 13838148 in words is "thirteen million, eight hundred thirty-eight thousand, one hundred forty-eight".