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135122634 = 2334161031
BaseRepresentation
bin10000000110111…
…00111011001010
3100102020221102000
420003130323022
5234042411014
621224051430
73230344353
oct1003347312
9312227360
10135122634
116a3006a9
1239303b76
1321cc032a
1413d34d2a
15bce1509
hex80dceca

135122634 has 32 divisors (see below), whose sum is σ = 307601280. Its totient is φ = 43941600.

The previous prime is 135122621. The next prime is 135122653. The reversal of 135122634 is 436221531.

135122634 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 22 + 634 = 666.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 135122598 and 135122607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28302 + ... + 32729.

It is an arithmetic number, because the mean of its divisors is an integer number (9612540).

Almost surely, 2135122634 is an apocalyptic number.

135122634 is an abundant number, since it is smaller than the sum of its proper divisors (172478646).

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

135122634 is a wasteful number, since it uses less digits than its factorization.

135122634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61083 (or 61077 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 135122634 is about 11624.2261677928. The cubic root of 135122634 is about 513.1480712065.

The spelling of 135122634 in words is "one hundred thirty-five million, one hundred twenty-two thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 246 369 738 1107 2214 61031 122062 183093 366186 549279 1098558 1647837 2502271 3295674 5004542 7506813 15013626 22520439 45040878 67561317 135122634