13148520 has 128 divisors (see below), whose sum is σ = 49213440. Its totient is φ = 2730240.

The previous prime is 13148507. The next prime is 13148533. The reversal of 13148520 is 2584131.

It is an interprime number because it is at equal distance from previous prime (13148507) and next prime (13148533).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8529 + ... + 9951.

It is an arithmetic number, because the mean of its divisors is an integer number (384480).

Almost surely, 2^13148520 is an apocalyptic number.

13148520 is a gapful number since it is divisible by the number (10) 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 13148520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24606720).

13148520 is an abundant number, since it is smaller than the sum of its proper divisors (36064920).

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

13148520 is a wasteful number, since it uses less digits than its factorization.

13148520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 13148520 is about 3626.0888020014. The cubic root of 13148520 is about 236.0255167277.

The spelling of 13148520 in words is "thirteen million, one hundred forty-eight thousand, five hundred twenty".