13542536 has 64 divisors (see below), whose sum is σ = 31104000. Its totient is φ = 5402880.

The previous prime is 13542521. The next prime is 13542539. The reversal of 13542536 is 63524531.

It is a super-2 number, since 2×13542536² = 366800562622592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 13542499 and 13542508.

It is not an unprimeable number, because it can be changed into a prime (13542539) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50210 + ... + 50478.

It is an arithmetic number, because the mean of its divisors is an integer number (486000).

Almost surely, 2^13542536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13542536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15552000).

13542536 is an abundant number, since it is smaller than the sum of its proper divisors (17561464).

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

13542536 is a wasteful number, since it uses less digits than its factorization.

13542536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 338 counting only the distinct ones).

The product of its digits is 10800, while the sum is 29.

The square root of 13542536 is about 3680.0184782145. The cubic root of 13542536 is about 238.3599759393.

The spelling of 13542536 in words is "thirteen million, five hundred forty-two thousand, five hundred thirty-six".