13138048 has 128 divisors (see below), whose sum is σ = 34467840. Its totient is φ = 4838400.

The previous prime is 13138043. The next prime is 13138067. The reversal of 13138048 is 84083131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (13138043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 305515 + ... + 305557.

It is an arithmetic number, because the mean of its divisors is an integer number (269280).

Almost surely, 2^13138048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13138048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17233920).

13138048 is an abundant number, since it is smaller than the sum of its proper divisors (21329792).

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

13138048 is a wasteful number, since it uses less digits than its factorization.

13138048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 13138048 is about 3624.6445342957. The cubic root of 13138048 is about 235.9628400747.

The spelling of 13138048 in words is "thirteen million, one hundred thirty-eight thousand, forty-eight".