13767760148 has 48 divisors (see below), whose sum is σ = 26172602064. Its totient is φ = 6311362560.

The previous prime is 13767760147. The next prime is 13767760151. The reversal of 13767760148 is 84106776731.

It is a happy number.

13767760148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 490268164 + 13277491984 = 22142^2 + 115228^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13767760096 and 13767760105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13767760147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2040236 + ... + 2046972.

It is an arithmetic number, because the mean of its divisors is an integer number (545262543).

Almost surely, 2^13767760148 is an apocalyptic number.

It is an amenable number.

13767760148 is a deficient number, since it is larger than the sum of its proper divisors (12404841916).

13767760148 is a wasteful number, since it uses less digits than its factorization.

13767760148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7532 (or 7530 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 50.

The spelling of 13767760148 in words is "thirteen billion, seven hundred sixty-seven million, seven hundred sixty thousand, one hundred forty-eight".