36131436 has 72 divisors (see below), whose sum is σ = 103993344. Its totient is φ = 10470240.

The previous prime is 36131377. The next prime is 36131441. The reversal of 36131436 is 63413163.

36131436 is a `hidden beast` number, since 3 + 613 + 1 + 43 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7125 + ... + 11091.

It is an arithmetic number, because the mean of its divisors is an integer number (1444352).

Almost surely, 2^36131436 is an apocalyptic number.

36131436 is a gapful number since it is divisible by the number (36) 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 36131436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51996672).

36131436 is an abundant number, since it is smaller than the sum of its proper divisors (67861908).

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

36131436 is a wasteful number, since it uses less digits than its factorization.

36131436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4011 (or 4006 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 36131436 is about 6010.9430208579. The cubic root of 36131436 is about 330.5940813804.

Adding to 36131436 its reverse (63413163), we get a palindrome (99544599).

The spelling of 36131436 in words is "thirty-six million, one hundred thirty-one thousand, four hundred thirty-six".