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136528 = 2472353
BaseRepresentation
bin100001010101010000
320221021121
4201111100
513332103
62532024
71106020
oct412520
9227247
10136528
1193637
1267014
134a1b2
1437a80
152a6bd
hex21550

136528 has 40 divisors (see below), whose sum is σ = 321408. Its totient is φ = 54912.

The previous prime is 136523. The next prime is 136531. The reversal of 136528 is 825631.

It is a happy number.

It is a congruent number.

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

136528 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2550 + ... + 2602.

2136528 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 136528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160704).

136528 is an abundant number, since it is smaller than the sum of its proper divisors (184880).

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

136528 is a wasteful number, since it uses less digits than its factorization.

136528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 85 counting only the distinct ones).

The product of its digits is 1440, while the sum is 25.

The square root of 136528 is about 369.4969553325. The cubic root of 136528 is about 51.4920966915.

Subtracting from 136528 its sum of digits (25), we obtain a triangular number (136503 = T522).

The spelling of 136528 in words is "one hundred thirty-six thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 46 53 56 92 106 112 161 184 212 322 368 371 424 644 742 848 1219 1288 1484 2438 2576 2968 4876 5936 8533 9752 17066 19504 34132 68264 136528