13527136242 has 80 divisors (see below), whose sum is σ = 30849470784. Its totient is φ = 4429620000.

The previous prime is 13527136213. The next prime is 13527136243. The reversal of 13527136242 is 24263172531.

13527136242 is a `hidden beast` number, since 1 + 3 + 5 + 27 + 1 + 3 + 624 + 2 = 666.

It is a super-4 number, since 4×13527136242⁴ (a number of 42 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13527136197 and 13527136206.

It is not an unprimeable number, because it can be changed into a prime (13527136243) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2140267 + ... + 2146577.

Almost surely, 2^13527136242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13527136242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15424735392).

13527136242 is an abundant number, since it is smaller than the sum of its proper divisors (17322334542).

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

13527136242 is a wasteful number, since it uses less digits than its factorization.

13527136242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6557 (or 6548 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

It can be divided in two parts, 13527 and 136242, that added together give a square (149769 = 387²).

The spelling of 13527136242 in words is "thirteen billion, five hundred twenty-seven million, one hundred thirty-six thousand, two hundred forty-two".