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135608 = 23112367
BaseRepresentation
bin100001000110111000
320220000112
4201012320
513314413
62523452
71103234
oct410670
9226015
10135608
1192980
1266588
1349955
14375c4
152a2a8
hex211b8

135608 has 32 divisors (see below), whose sum is σ = 293760. Its totient is φ = 58080.

The previous prime is 135607. The next prime is 135613. The reversal of 135608 is 806531.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1991 + ... + 2057.

It is an arithmetic number, because the mean of its divisors is an integer number (9180).

2135608 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 135608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146880).

135608 is an abundant number, since it is smaller than the sum of its proper divisors (158152).

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

135608 is a wasteful number, since it uses less digits than its factorization.

135608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 135608 is about 368.2499151392. The cubic root of 135608 is about 51.3761753253.

The spelling of 135608 in words is "one hundred thirty-five thousand, six hundred eight".

Divisors: 1 2 4 8 11 22 23 44 46 67 88 92 134 184 253 268 506 536 737 1012 1474 1541 2024 2948 3082 5896 6164 12328 16951 33902 67804 135608