13142336 has 56 divisors (see below), whose sum is σ = 27630120. Its totient is φ = 6193152.

The previous prime is 13142333. The next prime is 13142347. The reversal of 13142336 is 63324131.

It can be written as a sum of positive squares in 4 ways, for example, as 2119936 + 11022400 = 1456^2 + 3320^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13142333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135440 + ... + 135536.

It is an arithmetic number, because the mean of its divisors is an integer number (493395).

Almost surely, 2^13142336 is an apocalyptic number.

13142336 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 13142336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13815060).

13142336 is an abundant number, since it is smaller than the sum of its proper divisors (14487784).

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

13142336 is an equidigital number, since it uses as much as digits as its factorization.

13142336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 201 counting only the distinct ones).

The product of its digits is 1296, while the sum is 23.

The square root of 13142336 is about 3625.2359923183. The cubic root of 13142336 is about 235.9885084896.

Adding to 13142336 its reverse (63324131), we get a palindrome (76466467).

It can be divided in two parts, 1314 and 2336, that multiplied together give a square (3069504 = 1752²).

The spelling of 13142336 in words is "thirteen million, one hundred forty-two thousand, three hundred thirty-six".