13141536 has 48 divisors (see below), whose sum is σ = 34683264. Its totient is φ = 4356864.

The previous prime is 13141517. The next prime is 13141537. The reversal of 13141536 is 63514131.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13141537) 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, 35046 + ... + 35418.

It is an arithmetic number, because the mean of its divisors is an integer number (722568).

Almost surely, 2^13141536 is an apocalyptic number.

13141536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13141536 is an abundant number, since it is smaller than the sum of its proper divisors (21541728).

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

13141536 is a wasteful number, since it uses less digits than its factorization.

13141536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 745 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 13141536 is about 3625.1256529947. The cubic root of 13141536 is about 235.9837200299.

Adding to 13141536 its reverse (63514131), we get a palindrome (76655667).

It can be divided in two parts, 1314 and 1536, that added together give a triangular number (2850 = T₇₅).

The spelling of 13141536 in words is "thirteen million, one hundred forty-one thousand, five hundred thirty-six".