13782137541 has 32 divisors (see below), whose sum is σ = 19829980800. Its totient is φ = 8482682880.

The previous prime is 13782137531. The next prime is 13782137563. The reversal of 13782137541 is 14573128731.

It is not a de Polignac number, because 13782137541 - 2⁶ = 13782137477 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13782137493 and 13782137502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13782137531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1173225 + ... + 1184913.

It is an arithmetic number, because the mean of its divisors is an integer number (619686900).

Almost surely, 2^13782137541 is an apocalyptic number.

It is an amenable number.

13782137541 is a deficient number, since it is larger than the sum of its proper divisors (6047843259).

13782137541 is a wasteful number, since it uses less digits than its factorization.

13782137541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12149.

The product of its digits is 141120, while the sum is 42.

The spelling of 13782137541 in words is "thirteen billion, seven hundred eighty-two million, one hundred thirty-seven thousand, five hundred forty-one".