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135775164 = 223723312267
BaseRepresentation
bin10000001011111…
…00001110111100
3100110111002111210
420011330032330
5234224301124
621250044420
73236032650
oct1005741674
9313432453
10135775164
116a706988
1239579710
132218b345
1414064a60
15bdbea29
hex817c3bc

135775164 has 96 divisors (see below), whose sum is σ = 390168576. Its totient is φ = 35893440.

The previous prime is 135775153. The next prime is 135775219. The reversal of 135775164 is 461577531.

135775164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58759 + ... + 61025.

It is an arithmetic number, because the mean of its divisors is an integer number (4064256).

Almost surely, 2135775164 is an apocalyptic number.

135775164 is a gapful number since it is divisible by the number (14) 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 135775164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195084288).

135775164 is an abundant number, since it is smaller than the sum of its proper divisors (254393412).

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

135775164 is a wasteful number, since it uses less digits than its factorization.

135775164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2335 (or 2333 counting only the distinct ones).

The product of its digits is 88200, while the sum is 39.

The square root of 135775164 is about 11652.2600382930. The cubic root of 135775164 is about 513.9727712970.

The spelling of 135775164 in words is "one hundred thirty-five million, seven hundred seventy-five thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 31 42 46 62 69 84 92 93 124 138 161 186 217 276 322 372 434 483 644 651 713 868 966 1302 1426 1932 2139 2267 2604 2852 4278 4534 4991 6801 8556 9068 9982 13602 14973 15869 19964 27204 29946 31738 47607 52141 59892 63476 70277 95214 104282 140554 156423 190428 208564 210831 281108 312846 364987 421662 491939 625692 729974 843324 983878 1094961 1459948 1475817 1616371 1967756 2189922 2951634 3232742 4379844 4849113 5903268 6465484 9698226 11314597 19396452 22629194 33943791 45258388 67887582 135775164