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135338688 = 263426107
BaseRepresentation
bin10000001000100…
…01101011000000
3100102122220210000
420010101223000
5234121314223
621232440000
73232234302
oct1004215300
9312586700
10135338688
116a438a61
12393a9000
1322067784
1413d8d972
15bd35543
hex8111ac0

135338688 has 70 divisors (see below), whose sum is σ = 401201636. Its totient is φ = 45111168.

The previous prime is 135338681. The next prime is 135338699. The reversal of 135338688 is 886833531.

It is a super-2 number, since 2×1353386882 = 36633120939122688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135338681) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 7870 + ... + 18237.

Almost surely, 2135338688 is an apocalyptic number.

135338688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

135338688 is an abundant number, since it is smaller than the sum of its proper divisors (265862948).

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

135338688 is an equidigital number, since it uses as much as digits as its factorization.

135338688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26131 (or 26112 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 135338688 is about 11633.5157196782. The cubic root of 135338688 is about 513.4214245103.

The spelling of 135338688 in words is "one hundred thirty-five million, three hundred thirty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 26107 52214 78321 104428 156642 208856 234963 313284 417712 469926 626568 704889 835424 939852 1253136 1409778 1670848 1879704 2114667 2506272 2819556 3759408 4229334 5012544 5639112 7518816 8458668 11278224 15037632 16917336 22556448 33834672 45112896 67669344 135338688