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135594 = 23731
BaseRepresentation
bin100001000110101010
320220000000
4201012222
513314334
62523430
71103214
oct410652
9226000
10135594
1192968
1266576
1349944
14375b4
152a299
hex211aa

135594 has 32 divisors (see below), whose sum is σ = 314880. Its totient is φ = 43740.

The previous prime is 135593. The next prime is 135599. The reversal of 135594 is 495531.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (2700) is a multiple of the sum of its prime divisors (36).

It is not an unprimeable number, because it can be changed into a prime (135593) 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 15 ways as a sum of consecutive naturals, for example, 4359 + ... + 4389.

It is an arithmetic number, because the mean of its divisors is an integer number (9840).

2135594 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135594, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157440).

135594 is an abundant number, since it is smaller than the sum of its proper divisors (179286).

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

135594 is an frugal number, since it uses more digits than its factorization.

135594 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 36 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 135594 is about 368.2309058186. The cubic root of 135594 is about 51.3744072605.

It can be divided in two parts, 135 and 594, that added together give a 6-th power (729 = 36).

The spelling of 135594 in words is "one hundred thirty-five thousand, five hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 243 279 486 558 729 837 1458 1674 2187 2511 4374 5022 7533 15066 22599 45198 67797 135594