35136 has 42 divisors (see below), whose sum is σ = 102362. Its totient is φ = 11520.

The previous prime is 35129. The next prime is 35141. The reversal of 35136 is 63153.

35136 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in only one way, i.e., 20736 + 14400 = 144^2 + 120^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 546 + ... + 606.

2³⁵¹³⁶ is an apocalyptic number.

35136 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 35136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51181).

35136 is an abundant number, since it is smaller than the sum of its proper divisors (67226).

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

35136 is a wasteful number, since it uses less digits than its factorization.

35136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 66 counting only the distinct ones).

The product of its digits is 270, while the sum is 18.

The square root of 35136 is about 187.4459922218. The cubic root of 35136 is about 32.7529764402.

Adding to 35136 its reverse (63153), we get a palindrome (98289).

It can be divided in two parts, 35 and 136, that added together give a palindrome (171).

The spelling of 35136 in words is "thirty-five thousand, one hundred thirty-six".