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135638217 = 3211313267
BaseRepresentation
bin10000001010110…
…10110011001001
3100110020010122200
420011122303021
5234210410332
621243110413
73234622461
oct1005326311
9313203580
10135638217
116a623000
1239512409
1322140c00
141402aba1
15bd9417c
hex815acc9

135638217 has 72 divisors (see below), whose sum is σ = 236834208. Its totient is φ = 74748960.

The previous prime is 135638213. The next prime is 135638219. The reversal of 135638217 is 712836531.

135638217 is a `hidden beast` number, since 1 + 3 + 5 + 638 + 2 + 17 = 666.

It is not a de Polignac number, because 135638217 - 22 = 135638213 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135638213) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2024418 + ... + 2024484.

It is an arithmetic number, because the mean of its divisors is an integer number (3289364).

Almost surely, 2135638217 is an apocalyptic number.

It is an amenable number.

135638217 is a deficient number, since it is larger than the sum of its proper divisors (101195991).

135638217 is a wasteful number, since it uses less digits than its factorization.

135638217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 94 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 135638217 is about 11646.3821421075. The cubic root of 135638217 is about 513.7999102594.

The spelling of 135638217 in words is "one hundred thirty-five million, six hundred thirty-eight thousand, two hundred seventeen".

Divisors: 1 3 9 11 13 33 39 67 99 117 121 143 169 201 363 429 507 603 737 871 1089 1287 1331 1521 1573 1859 2211 2613 3993 4719 5577 6633 7839 8107 9581 11323 11979 14157 16731 17303 20449 24321 28743 33969 51909 61347 72963 86229 89177 101907 105391 124553 155727 184041 224939 267531 316173 373659 674817 802593 948519 1120977 1159301 1370083 2024451 3477903 4110249 10433709 12330747 15070913 45212739 135638217