36135104 has 56 divisors (see below), whose sum is σ = 75273408. Its totient is φ = 17192960.

The previous prime is 36135101. The next prime is 36135107. The reversal of 36135104 is 40153163.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (36135101) and next prime (36135107).

It is a self number, because there is not a number n which added to its sum of digits gives 36135104.

It is not an unprimeable number, because it can be changed into a prime (36135101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123182 + ... + 123474.

It is an arithmetic number, because the mean of its divisors is an integer number (1344168).

Almost surely, 2^36135104 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 36135104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37636704).

36135104 is an abundant number, since it is smaller than the sum of its proper divisors (39138304).

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

36135104 is a wasteful number, since it uses less digits than its factorization.

36135104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 36135104 is about 6011.2481233102. The cubic root of 36135104 is about 330.6052681122.

Adding to 36135104 its reverse (40153163), we get a palindrome (76288267).

The spelling of 36135104 in words is "thirty-six million, one hundred thirty-five thousand, one hundred four".