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135936 = 283259
BaseRepresentation
bin100001001100000000
320220110200
4201030000
513322221
62525200
71104213
oct411400
9226420
10135936
1193149
1266800
1349b48
143777a
152a426
hex21300

135936 has 54 divisors (see below), whose sum is σ = 398580. Its totient is φ = 44544.

The previous prime is 135929. The next prime is 135937. The reversal of 135936 is 639531.

It can be divided in two parts, 1 and 35936, that added together give a cube (35937 = 333).

Its product of digits (2430) is a multiple of the sum of its prime factors (81).

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (135937) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2275 + ... + 2333.

2135936 is an apocalyptic number.

135936 is a gapful number since it is divisible by the number (16) 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 135936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199290).

135936 is an abundant number, since it is smaller than the sum of its proper divisors (262644).

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

135936 is an equidigital number, since it uses as much as digits as its factorization.

135936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 64 counting only the distinct ones).

The product of its digits is 2430, while the sum is 27.

The square root of 135936 is about 368.6949958977. The cubic root of 135936 is about 51.4175637817.

The spelling of 135936 in words is "one hundred thirty-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 96 118 128 144 177 192 236 256 288 354 384 472 531 576 708 768 944 1062 1152 1416 1888 2124 2304 2832 3776 4248 5664 7552 8496 11328 15104 16992 22656 33984 45312 67968 135936