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134098128 = 2432931237
BaseRepresentation
bin1111111111000…
…10110011010000
3100100022220001100
413333202303100
5233312120003
621150104400
73215546433
oct777426320
9310286040
10134098128
11697709aa
1238aab100
1321a21c08
1413b4981a
15bb8cba3
hex7fe2cd0

134098128 has 30 divisors (see below), whose sum is σ = 375288914. Its totient is φ = 44699328.

The previous prime is 134098103. The next prime is 134098147. The reversal of 134098128 is 821890431.

It can be written as a sum of positive squares in only one way, i.e., 81216144 + 52881984 = 9012^2 + 7272^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 134098092 and 134098101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 465475 + ... + 465762.

Almost surely, 2134098128 is an apocalyptic number.

134098128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

134098128 is an abundant number, since it is smaller than the sum of its proper divisors (241190786).

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

134098128 is a wasteful number, since it uses less digits than its factorization.

134098128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931251 (or 931242 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 134098128 is about 11580.0746111586. The cubic root of 134098128 is about 511.8478755412.

The spelling of 134098128 in words is "one hundred thirty-four million, ninety-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 931237 1862474 2793711 3724948 5587422 7449896 8381133 11174844 14899792 16762266 22349688 33524532 44699376 67049064 134098128