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135539388 = 223219296833
BaseRepresentation
bin10000001010000…
…10101010111100
3100110001010002100
420011002222330
5234144230023
621241025100
73234031365
oct1005025274
9313033070
10135539388
116a565826
1239485190
1322107c2a
1414002b6c
15bd74c43
hex8142abc

135539388 has 72 divisors (see below), whose sum is σ = 373136400. Its totient is φ = 41319936.

The previous prime is 135539387. The next prime is 135539401. The reversal of 135539388 is 883935531.

135539388 is a `hidden beast` number, since 1 + 3 + 553 + 93 + 8 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135539381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16420 + ... + 23252.

It is an arithmetic number, because the mean of its divisors is an integer number (5182450).

Almost surely, 2135539388 is an apocalyptic number.

135539388 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 135539388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186568200).

135539388 is an abundant number, since it is smaller than the sum of its proper divisors (237597012).

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

135539388 is a wasteful number, since it uses less digits than its factorization.

135539388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6891 (or 6886 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 135539388 is about 11642.1384633580. The cubic root of 135539388 is about 513.6750912858.

It can be divided in two parts, 1355393 and 88, that added together give a triangular number (1355481 = T1646).

The spelling of 135539388 in words is "one hundred thirty-five million, five hundred thirty-nine thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 29 36 38 57 58 76 87 114 116 171 174 228 261 342 348 522 551 684 1044 1102 1653 2204 3306 4959 6612 6833 9918 13666 19836 20499 27332 40998 61497 81996 122994 129827 198157 245988 259654 389481 396314 519308 594471 778962 792628 1168443 1188942 1557924 1783413 2336886 2377884 3566826 3764983 4673772 7133652 7529966 11294949 15059932 22589898 33884847 45179796 67769694 135539388