13722587136 has 312 divisors, whose sum is σ = 43577954784. Its totient is φ = 4299816960.

The previous prime is 13722587117. The next prime is 13722587141. The reversal of 13722587136 is 63178522731.

13722587136 is a `hidden beast` number, since 1 + 37 + 2 + 2 + 587 + 1 + 36 = 666.

It is a super-2 number, since 2×13722587136² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13722587091 and 13722587100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16920171 + ... + 16920981.

It is an arithmetic number, because the mean of its divisors is an integer number (139672932).

Almost surely, 2^13722587136 is an apocalyptic number.

13722587136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13722587136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21788977392).

13722587136 is an abundant number, since it is smaller than the sum of its proper divisors (29855367648).

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

13722587136 is an frugal number, since it uses more digits than its factorization.

13722587136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 833 counting only the distinct ones).

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

The spelling of 13722587136 in words is "thirteen billion, seven hundred twenty-two million, five hundred eighty-seven thousand, one hundred thirty-six".