13542936 has 64 divisors (see below), whose sum is σ = 37825920. Its totient is φ = 4005120.

The previous prime is 13542871. The next prime is 13542967. The reversal of 13542936 is 63924531.

It is a super-2 number, since 2×13542936² = 366822231000192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 13542897 and 13542906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10756 + ... + 11948.

It is an arithmetic number, because the mean of its divisors is an integer number (591030).

Almost surely, 2^13542936 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 13542936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18912960).

13542936 is an abundant number, since it is smaller than the sum of its proper divisors (24282984).

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

13542936 is a wasteful number, since it uses less digits than its factorization.

13542936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1252 counting only the distinct ones).

The product of its digits is 19440, while the sum is 33.

The square root of 13542936 is about 3680.0728253664. The cubic root of 13542936 is about 238.3623226946.

It can be divided in two parts, 135 and 42936, that added together give a triangular number (43071 = T₂₉₃).

The spelling of 13542936 in words is "thirteen million, five hundred forty-two thousand, nine hundred thirty-six".