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135732688 = 24713271101
BaseRepresentation
bin10000001011100…
…01110111010000
3100110101221020121
420011301313100
5234221421223
621245120024
73235465060
oct1005616720
9313357217
10135732688
116a687a83
1239559014
1322174c00
14140533a0
15bdb215d
hex8171dd0

135732688 has 120 divisors (see below), whose sum is σ = 333300096. Its totient is φ = 52416000.

The previous prime is 135732677. The next prime is 135732689. The reversal of 135732688 is 886237531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135732689) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1343838 + ... + 1343938.

Almost surely, 2135732688 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 135732688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166650048).

135732688 is an abundant number, since it is smaller than the sum of its proper divisors (197567408).

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

135732688 is a wasteful number, since it uses less digits than its factorization.

135732688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 194 counting only the distinct ones).

The product of its digits is 241920, while the sum is 43.

The square root of 135732688 is about 11650.4372450136. The cubic root of 135732688 is about 513.9191685031.

It can be divided in two parts, 13573 and 2688, that added together give a palindrome (16261).

The spelling of 135732688 in words is "one hundred thirty-five million, seven hundred thirty-two thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 71 91 101 104 112 142 169 182 202 208 284 338 364 404 497 568 676 707 728 808 923 994 1136 1183 1313 1352 1414 1456 1616 1846 1988 2366 2626 2704 2828 3692 3976 4732 5252 5656 6461 7171 7384 7952 9191 9464 10504 11312 11999 12922 14342 14768 17069 18382 18928 21008 23998 25844 28684 34138 36764 47996 50197 51688 57368 68276 73528 83993 93223 95992 100394 103376 114736 119483 136552 147056 167986 186446 191984 200788 238966 273104 335972 372892 401576 477932 652561 671944 745784 803152 955864 1211899 1305122 1343888 1491568 1911728 2423798 2610244 4847596 5220488 8483293 9695192 10440976 16966586 19390384 33933172 67866344 135732688