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135541566 = 2337193491
BaseRepresentation
bin10000001010000…
…11001100111110
3100110001020002000
420011003030332
5234144312231
621241043130
73234040626
oct1005031476
9313036060
10135541566
116a567426
12394864a6
1322108c14
1414003886
15bd756e6
hex814333e

135541566 has 32 divisors (see below), whose sum is σ = 301708800. Its totient is φ = 45104760.

The previous prime is 135541529. The next prime is 135541577. The reversal of 135541566 is 665145531.

135541566 is a `hidden beast` number, since 1 + 3 + 55 + 41 + 566 = 666.

It is a super-2 number, since 2×1355415662 = 36743032227464712, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 135541566.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37081 + ... + 40571.

It is an arithmetic number, because the mean of its divisors is an integer number (9428400).

Almost surely, 2135541566 is an apocalyptic number.

135541566 is an abundant number, since it is smaller than the sum of its proper divisors (166167234).

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

135541566 is a wasteful number, since it uses less digits than its factorization.

135541566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4221 (or 4215 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 135541566 is about 11642.2320024985. The cubic root of 135541566 is about 513.6778427083.

It can be divided in two parts, 1355415 and 66, that added together give a triangular number (1355481 = T1646).

The spelling of 135541566 in words is "one hundred thirty-five million, five hundred forty-one thousand, five hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 719 1438 2157 3491 4314 6471 6982 10473 12942 19413 20946 31419 38826 62838 94257 188514 2510029 5020058 7530087 15060174 22590261 45180522 67770783 135541566