13138577640 has 48 divisors (see below), whose sum is σ = 42700378500. Its totient is φ = 3503620608.

The previous prime is 13138577603. The next prime is 13138577651. The reversal of 13138577640 is 4677583131.

13138577640 is a `hidden beast` number, since 1 + 3 + 1 + 38 + 577 + 6 + 40 = 666.

13138577640 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 2 ways, for example, as 13120786116 + 17791524 = 114546^2 + 4218^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 18247665 + ... + 18248384.

Almost surely, 2^13138577640 is an apocalyptic number.

13138577640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13138577640 is an abundant number, since it is smaller than the sum of its proper divisors (29561800860).

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

13138577640 is a wasteful number, since it uses less digits than its factorization.

13138577640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36496066 (or 36496059 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 13138577640 in words is "thirteen billion, one hundred thirty-eight million, five hundred seventy-seven thousand, six hundred forty".