53136 has 50 divisors (see below), whose sum is σ = 157542. Its totient is φ = 17280.

The previous prime is 53129. The next prime is 53147. The reversal of 53136 is 63135.

53136 = 14² + 15² + ... + 54².

53136 = 6³ + 7³ + ... + 21³.

53136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 32400 + 20736 = 180^2 + 144^2 .

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

It is an Ulam number.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1276 + ... + 1316.

2⁵³¹³⁶ 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 53136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78771).

53136 is an abundant number, since it is smaller than the sum of its proper divisors (104406).

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

53136 is a wasteful number, since it uses less digits than its factorization.

53136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 46 counting only the distinct ones).

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

The square root of 53136 is about 230.5124725476. The cubic root of 53136 is about 37.5949593363.

Subtracting 53136 from its reverse (63135), we obtain a palindrome (9999).

It can be divided in two parts, 5313 and 6, that multiplied together give a triangular number (31878 = T₂₅₂).

The spelling of 53136 in words is "fifty-three thousand, one hundred thirty-six".