13680148 has 24 divisors (see below), whose sum is σ = 24598728. Its totient is φ = 6654336.

The previous prime is 13680113. The next prime is 13680167. The reversal of 13680148 is 84108631.

It can be written as a sum of positive squares in 4 ways, for example, as 6615184 + 7064964 = 2572^2 + 2658^2 .

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 36490 + ... + 36862.

It is an arithmetic number, because the mean of its divisors is an integer number (1024947).

Almost surely, 2^13680148 is an apocalyptic number.

It is an amenable number.

13680148 is a deficient number, since it is larger than the sum of its proper divisors (10918580).

13680148 is a wasteful number, since it uses less digits than its factorization.

13680148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 13680148 is about 3698.6684090359. The cubic root of 13680148 is about 239.1646187643.

Adding to 13680148 its reverse (84108631), we get a palindrome (97788779).

The spelling of 13680148 in words is "thirteen million, six hundred eighty thousand, one hundred forty-eight".