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135149841 = 3253421673
BaseRepresentation
bin10000000111000…
…11100100010001
3100102022022201200
420003203210101
5234044243331
621224421413
73230516601
oct1003434421
9312268650
10135149841
116a31a092
1239317869
1321ccc828
1413d40c01
15bce95e6
hex80e3911

135149841 has 24 divisors (see below), whose sum is σ = 199668456. Its totient is φ = 88058880.

The previous prime is 135149837. The next prime is 135149843. The reversal of 135149841 is 148941531.

135149841 is a `hidden beast` number, since 13 + 514 + 98 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 497025 + 134652816 = 705^2 + 11604^2 .

It is not a de Polignac number, because 135149841 - 22 = 135149837 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 135149796 and 135149805.

It is not an unprimeable number, because it can be changed into a prime (135149843) 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, 200481 + ... + 201153.

It is an arithmetic number, because the mean of its divisors is an integer number (8319519).

Almost surely, 2135149841 is an apocalyptic number.

It is an amenable number.

135149841 is a deficient number, since it is larger than the sum of its proper divisors (64518615).

135149841 is a wasteful number, since it uses less digits than its factorization.

135149841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1150 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 135149841 is about 11625.3963803390. The cubic root of 135149841 is about 513.1825097562.

The spelling of 135149841 in words is "one hundred thirty-five million, one hundred forty-nine thousand, eight hundred forty-one".

Divisors: 1 3 9 53 159 421 477 673 1263 2019 3789 6057 22313 35669 66939 107007 200817 283333 321021 849999 2549997 15016649 45049947 135149841