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135198 = 23272937
BaseRepresentation
bin100001000000011110
320212110100
4201000132
513311243
62521530
71102110
oct410036
9225410
10135198
1192638
12662a6
13496cb
14373b0
152a0d3
hex2101e

135198 has 48 divisors (see below), whose sum is σ = 355680. Its totient is φ = 36288.

The previous prime is 135197. The next prime is 135209. The reversal of 135198 is 891531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135193) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3636 + ... + 3672.

It is an arithmetic number, because the mean of its divisors is an integer number (7410).

2135198 is an apocalyptic number.

135198 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177840).

135198 is an abundant number, since it is smaller than the sum of its proper divisors (220482).

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

135198 is a wasteful number, since it uses less digits than its factorization.

135198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 78 counting only the distinct ones).

The product of its digits is 1080, while the sum is 27.

The square root of 135198 is about 367.6928065655. The cubic root of 135198 is about 51.3243457963.

It can be divided in two parts, 135 and 198, that added together give a palindrome (333).

The spelling of 135198 in words is "one hundred thirty-five thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 29 37 42 58 63 74 87 111 126 174 203 222 259 261 333 406 518 522 609 666 777 1073 1218 1554 1827 2146 2331 3219 3654 4662 6438 7511 9657 15022 19314 22533 45066 67599 135198