13138848 has 120 divisors (see below), whose sum is σ = 39975012. Its totient is φ = 4230144.

The previous prime is 13138837. The next prime is 13138877. The reversal of 13138848 is 84883131.

It can be written as a sum of positive squares in 2 ways, for example, as 12194064 + 944784 = 3492^2 + 972^2 .

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

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

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 19 ways as a sum of consecutive naturals, for example, 95836 + ... + 95972.

Almost surely, 2^13138848 is an apocalyptic number.

13138848 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 13138848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19987506).

13138848 is an abundant number, since it is smaller than the sum of its proper divisors (26836164).

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

13138848 is a wasteful number, since it uses less digits than its factorization.

13138848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 179 counting only the distinct ones).

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

The square root of 13138848 is about 3624.7548882649. The cubic root of 13138848 is about 235.9676293818.

The spelling of 13138848 in words is "thirteen million, one hundred thirty-eight thousand, eight hundred forty-eight".