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135108 = 2235139
BaseRepresentation
bin100000111111000100
320212100000
4200333010
513310413
62521300
71101621
oct407704
9225300
10135108
1192566
1266230
134965c
1437348
152a073
hex20fc4

135108 has 36 divisors (see below), whose sum is σ = 356720. Its totient is φ = 44712.

The previous prime is 135101. The next prime is 135119. The reversal of 135108 is 801531.

It is a happy number.

135108 is nontrivially palindromic in base 8.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 135108.

It is not an unprimeable number, because it can be changed into a prime (135101) by changing a digit.

135108 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 11 ways as a sum of consecutive naturals, for example, 903 + ... + 1041.

2135108 is an apocalyptic number.

135108 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178360).

135108 is an abundant number, since it is smaller than the sum of its proper divisors (221612).

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

135108 is a wasteful number, since it uses less digits than its factorization.

135108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 135108 is about 367.5704014199. The cubic root of 135108 is about 51.3129545615.

Adding to 135108 its reverse (801531), we get a palindrome (936639).

It can be divided in two parts, 135 and 108, that added together give a 5-th power (243 = 35).

The spelling of 135108 in words is "one hundred thirty-five thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 139 162 243 278 324 417 486 556 834 972 1251 1668 2502 3753 5004 7506 11259 15012 22518 33777 45036 67554 135108