13657148757 has 72 divisors (see below), whose sum is σ = 23856183936. Its totient is φ = 7374100032.

The previous prime is 13657148753. The next prime is 13657148783. The reversal of 13657148757 is 75784175631.

13657148757 is a `hidden beast` number, since 13 + 6 + 571 + 4 + 8 + 7 + 57 = 666.

13657148757 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13657148757 - 2² = 13657148753 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13657148753) 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 71 ways as a sum of consecutive naturals, for example, 15396568 + ... + 15397454.

It is an arithmetic number, because the mean of its divisors is an integer number (331335888).

Almost surely, 2^13657148757 is an apocalyptic number.

It is an amenable number.

13657148757 is a deficient number, since it is larger than the sum of its proper divisors (10199035179).

13657148757 is a wasteful number, since it uses less digits than its factorization.

13657148757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615 (or 1593 counting only the distinct ones).

The product of its digits is 4939200, while the sum is 54.

The spelling of 13657148757 in words is "thirteen billion, six hundred fifty-seven million, one hundred forty-eight thousand, seven hundred fifty-seven".