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135359268 = 2231119311741
BaseRepresentation
bin10000001000101…
…10101100100100
3100102200222000020
420010112230210
5234122444033
621233115140
73232351302
oct1004265444
9312628006
10135359268
116a452470
12393b8ab0
1322073c55
1413d97272
15bd3b6b3
hex8116b24

135359268 has 96 divisors (see below), whose sum is σ = 374599680. Its totient is φ = 37584000.

The previous prime is 135359233. The next prime is 135359293. The reversal of 135359268 is 862953531.

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, 76878 + ... + 78618.

It is an arithmetic number, because the mean of its divisors is an integer number (3902080).

Almost surely, 2135359268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135359268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187299840).

135359268 is an abundant number, since it is smaller than the sum of its proper divisors (239240412).

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

135359268 is a wasteful number, since it uses less digits than its factorization.

135359268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809 (or 1807 counting only the distinct ones).

The product of its digits is 194400, while the sum is 42.

The square root of 135359268 is about 11634.4001994086. The cubic root of 135359268 is about 513.4474473166.

The spelling of 135359268 in words is "one hundred thirty-five million, three hundred fifty-nine thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 19 22 31 33 38 44 57 62 66 76 93 114 124 132 186 209 228 341 372 418 589 627 682 836 1023 1178 1254 1364 1741 1767 2046 2356 2508 3482 3534 4092 5223 6479 6964 7068 10446 12958 19151 19437 20892 25916 33079 38302 38874 53971 57453 66158 76604 77748 99237 107942 114906 132316 161913 198474 215884 229812 323826 363869 396948 593681 647652 727738 1025449 1091607 1187362 1455476 1781043 2050898 2183214 2374724 3076347 3562086 4101796 4366428 6152694 7124172 11279939 12305388 22559878 33839817 45119756 67679634 135359268