13587227136 has 240 divisors, whose sum is σ = 45117868224. Its totient is φ = 3855900672.

The previous prime is 13587227111. The next prime is 13587227141. The reversal of 13587227136 is 63172278531.

13587227136 is a `hidden beast` number, since 13 + 587 + 2 + 27 + 1 + 36 = 666.

It is a super-2 number, since 2×13587227136² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13587227091 and 13587227100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5062851 + ... + 5065533.

Almost surely, 2^13587227136 is an apocalyptic number.

13587227136 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 13587227136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22558934112).

13587227136 is an abundant number, since it is smaller than the sum of its proper divisors (31530641088).

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

13587227136 is a wasteful number, since it uses less digits than its factorization.

13587227136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2871 (or 2852 counting only the distinct ones).

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

The spelling of 13587227136 in words is "thirteen billion, five hundred eighty-seven million, two hundred twenty-seven thousand, one hundred thirty-six".