Search a number
-
+
135156340 = 225111633769
BaseRepresentation
bin10000000111001…
…01001001110100
3100102022122122101
420003211021310
5234100000330
621224511444
73230544544
oct1003451164
9312278571
10135156340
116a323a60
123931b584
1322002787
1413d43324
15bceb4ca
hex80e5274

135156340 has 48 divisors (see below), whose sum is σ = 311613120. Its totient is φ = 48833280.

The previous prime is 135156337. The next prime is 135156347. The reversal of 135156340 is 43651531.

It is a junction number, because it is equal to n+sod(n) for n = 135156299 and 135156308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135156347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33976 + ... + 37744.

It is an arithmetic number, because the mean of its divisors is an integer number (6491940).

Almost surely, 2135156340 is an apocalyptic number.

135156340 is a gapful number since it is divisible by the number (10) 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 135156340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155806560).

135156340 is an abundant number, since it is smaller than the sum of its proper divisors (176456780).

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

135156340 is a wasteful number, since it uses less digits than its factorization.

135156340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3952 (or 3950 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 135156340 is about 11625.6758943298. The cubic root of 135156340 is about 513.1907354896.

The spelling of 135156340 in words is "one hundred thirty-five million, one hundred fifty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 163 220 326 652 815 1630 1793 3260 3586 3769 7172 7538 8965 15076 17930 18845 35860 37690 41459 75380 82918 165836 207295 414590 614347 829180 1228694 2457388 3071735 6143470 6757817 12286940 13515634 27031268 33789085 67578170 135156340