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135758208 = 2733491013
BaseRepresentation
bin10000001011110…
…00000110000000
3100110110020020210
420011320012000
5234223230313
621245434120
73235632345
oct1005700600
9313406223
10135758208
116a6a5173
123956b940
1322183701
141405c7cc
15bdb99c3
hex8178180

135758208 has 64 divisors (see below), whose sum is σ = 361998000. Its totient is φ = 45078528.

The previous prime is 135758171. The next prime is 135758239. The reversal of 135758208 is 802857531.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133510 + ... + 134522.

Almost surely, 2135758208 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 135758208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180999000).

135758208 is an abundant number, since it is smaller than the sum of its proper divisors (226239792).

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

135758208 is a wasteful number, since it uses less digits than its factorization.

135758208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The square root of 135758208 is about 11651.5324314015. The cubic root of 135758208 is about 513.9513749315.

The spelling of 135758208 in words is "one hundred thirty-five million, seven hundred fifty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 349 384 698 1013 1047 1396 2026 2094 2792 3039 4052 4188 5584 6078 8104 8376 11168 12156 16208 16752 22336 24312 32416 33504 44672 48624 64832 67008 97248 129664 134016 194496 353537 388992 707074 1060611 1414148 2121222 2828296 4242444 5656592 8484888 11313184 16969776 22626368 33939552 45252736 67879104 135758208