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135706155 = 35132174767
BaseRepresentation
bin10000001011010…
…11011000101011
3100110100120211220
420011223120223
5234220044110
621244353123
73235324524
oct1005533053
9313316756
10135706155
116a66a052
12395457a3
1322165b00
141404784b
15bda9370
hex816b62b

135706155 has 96 divisors (see below), whose sum is σ = 258038784. Its totient is φ = 60622848.

The previous prime is 135706093. The next prime is 135706157. The reversal of 135706155 is 551607531.

It is not a de Polignac number, because 135706155 - 26 = 135706091 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135706157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2025432 + ... + 2025498.

It is an arithmetic number, because the mean of its divisors is an integer number (2687904).

Almost surely, 2135706155 is an apocalyptic number.

135706155 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135706155 is a deficient number, since it is larger than the sum of its proper divisors (122332629).

135706155 is a wasteful number, since it uses less digits than its factorization.

135706155 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 15750, while the sum is 33.

The square root of 135706155 is about 11649.2984767324. The cubic root of 135706155 is about 513.8856793804.

The spelling of 135706155 in words is "one hundred thirty-five million, seven hundred six thousand, one hundred fifty-five".

Divisors: 1 3 5 13 15 17 39 47 51 65 67 85 141 169 195 201 221 235 255 335 507 611 663 705 799 845 871 1005 1105 1139 1833 2397 2535 2613 2873 3055 3149 3315 3417 3995 4355 5695 7943 8619 9165 9447 10387 11323 11985 13065 14365 14807 15745 17085 23829 31161 33969 39715 40937 43095 44421 47235 51935 53533 56615 74035 119145 122811 135031 155805 160599 169845 192491 204685 222105 267665 405093 532181 577473 614055 675155 695929 802995 962455 1596543 2025465 2087787 2660905 2887365 3479645 7982715 9047077 10438935 27141231 45235385 135706155