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135822708 = 223272372081
BaseRepresentation
bin10000001100001…
…11110101110100
3100110120111201200
420012013311310
5234232311313
621251052500
73236321400
oct1006076564
9313514650
10135822708
116a73967a
12395a1130
13221a6b88
1414078100
15bdcdb73
hex8187d74

135822708 has 108 divisors (see below), whose sum is σ = 410374692. Its totient is φ = 37739520.

The previous prime is 135822703. The next prime is 135822727. The reversal of 135822708 is 807228531.

135822708 is a `hidden beast` number, since 1 + 3 + 582 + 2 + 70 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 90098064 + 45724644 = 9492^2 + 6762^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135822703) 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 35 ways as a sum of consecutive naturals, for example, 64228 + ... + 66308.

Almost surely, 2135822708 is an apocalyptic number.

135822708 is a gapful number since it is divisible by the number (18) 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 135822708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205187346).

135822708 is an abundant number, since it is smaller than the sum of its proper divisors (274551984).

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

135822708 is a wasteful number, since it uses less digits than its factorization.

135822708 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 135822708 is about 11654.2999789777. The cubic root of 135822708 is about 514.0327564200.

It can be divided in two parts, 13582 and 2708, that added together give a triangular number (16290 = T180).

The spelling of 135822708 in words is "one hundred thirty-five million, eight hundred twenty-two thousand, seven hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 49 63 74 84 98 111 126 147 148 196 222 252 259 294 333 441 444 518 588 666 777 882 1036 1332 1554 1764 1813 2081 2331 3108 3626 4162 4662 5439 6243 7252 8324 9324 10878 12486 14567 16317 18729 21756 24972 29134 32634 37458 43701 58268 65268 74916 76997 87402 101969 131103 153994 174804 203938 230991 262206 305907 307988 407876 461982 524412 538979 611814 692973 917721 923964 1077958 1223628 1385946 1616937 1835442 2155916 2771892 3233874 3670884 3772853 4850811 6467748 7545706 9701622 11318559 15091412 19403244 22637118 33955677 45274236 67911354 135822708