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135555642 = 2323725501
BaseRepresentation
bin10000001010001…
…10101000111010
3100110001221101100
420011012220322
5234200240032
621241232230
73234126645
oct1005065072
9313057340
10135555642
116a576a62
1239492676
1322112451
1414008a5c
15bd7997c
hex8146a3a

135555642 has 36 divisors (see below), whose sum is σ = 301911246. Its totient is φ = 43956000.

The previous prime is 135555631. The next prime is 135555647. The reversal of 135555642 is 246555531.

135555642 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 5 + 5 + 642 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 116186841 + 19368801 = 10779^2 + 4401^2 .

It is a junction number, because it is equal to n+sod(n) for n = 135555597 and 135555606.

It is not an unprimeable number, because it can be changed into a prime (135555647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21892 + ... + 27392.

Almost surely, 2135555642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135555642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150955623).

135555642 is an abundant number, since it is smaller than the sum of its proper divisors (166355604).

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

135555642 is a wasteful number, since it uses less digits than its factorization.

135555642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5583 (or 5543 counting only the distinct ones).

The product of its digits is 90000, while the sum is 36.

The square root of 135555642 is about 11642.8365100606. The cubic root of 135555642 is about 513.6956239180.

The spelling of 135555642 in words is "one hundred thirty-five million, five hundred fifty-five thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 1369 2738 4107 5501 8214 11002 12321 16503 24642 33006 49509 99018 203537 407074 610611 1221222 1831833 3663666 7530869 15061738 22592607 45185214 67777821 135555642