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135365538 = 237211192203
BaseRepresentation
bin10000001000110…
…00001110100010
3100102201021121110
420010120032202
5234123144123
621233204150
73232405500
oct1004301642
9312637543
10135365538
116a457150
1239400656
1322076a69
1413d99670
15bd3d493
hex81183a2

135365538 has 96 divisors (see below), whose sum is σ = 361808640. Its totient is φ = 33294240.

The previous prime is 135365521. The next prime is 135365539. The reversal of 135365538 is 835563531.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 135365496 and 135365505.

It is not an unprimeable number, because it can be changed into a prime (135365539) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60345 + ... + 62547.

It is an arithmetic number, because the mean of its divisors is an integer number (3768840).

Almost surely, 2135365538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135365538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180904320).

135365538 is an abundant number, since it is smaller than the sum of its proper divisors (226443102).

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

135365538 is a wasteful number, since it uses less digits than its factorization.

135365538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252 (or 2245 counting only the distinct ones).

The product of its digits is 162000, while the sum is 39.

The square root of 135365538 is about 11634.6696558175. The cubic root of 135365538 is about 513.4553750235.

The spelling of 135365538 in words is "one hundred thirty-five million, three hundred sixty-five thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 49 57 66 77 98 114 133 147 154 209 231 266 294 399 418 462 539 627 798 931 1078 1254 1463 1617 1862 2203 2793 2926 3234 4389 4406 5586 6609 8778 10241 13218 15421 20482 24233 30723 30842 41857 46263 48466 61446 72699 83714 92526 107947 125571 145398 169631 215894 251142 292999 323841 339262 460427 508893 585998 647682 878997 920854 1017786 1187417 1381281 1757994 2050993 2374834 2762562 3222989 3562251 4101986 6152979 6445978 7124502 9668967 12305958 19337934 22560923 45121846 67682769 135365538