136520 has 16 divisors (see below), whose sum is σ = 307260. Its totient is φ = 54592.

The previous prime is 136519. The next prime is 136523. The reversal of 136520 is 25631.

136520 = 28² + 29² + ... + 75².

It can be written as a sum of positive squares in 2 ways, for example, as 131044 + 5476 = 362^2 + 74^2 .

It is not an unprimeable number, because it can be changed into a prime (136523) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1667 + ... + 1746.

2¹³⁶⁵²⁰ is an apocalyptic number.

136520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136520 is an abundant number, since it is smaller than the sum of its proper divisors (170740).

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

136520 is a wasteful number, since it uses less digits than its factorization.

136520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3424 (or 3420 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 136520 is about 369.4861296449. The cubic root of 136520 is about 51.4910909276.

Subtracting from 136520 its sum of digits (17), we obtain a triangular number (136503 = T₅₂₂).

Subtracting from 136520 its reverse (25631), we obtain a square (110889 = 333²).

It can be divided in two parts, 136 and 520, that added together give a palindrome (656).

The spelling of 136520 in words is "one hundred thirty-six thousand, five hundred twenty".