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134126478 = 232231272551
BaseRepresentation
bin1111111111010…
…01101110001110
3100100101022221100
413333221232032
5233314021403
621150443530
73216025203
oct777515616
9310338840
10134126478
1169790232
1238b035a6
1321a31aa5
1413b55caa
15bb962a3
hex7fe9b8e

134126478 has 48 divisors (see below), whose sum is σ = 305750016. Its totient is φ = 42411600.

The previous prime is 134126467. The next prime is 134126483. The reversal of 134126478 is 874621431.

134126478 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 2 + 647 + 8 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51303 + ... + 53853.

It is an arithmetic number, because the mean of its divisors is an integer number (6369792).

Almost surely, 2134126478 is an apocalyptic number.

134126478 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 134126478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152875008).

134126478 is an abundant number, since it is smaller than the sum of its proper divisors (171623538).

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

134126478 is a wasteful number, since it uses less digits than its factorization.

134126478 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2709 (or 2706 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 134126478 is about 11581.2986318461. The cubic root of 134126478 is about 511.8839433199.

The spelling of 134126478 in words is "one hundred thirty-four million, one hundred twenty-six thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 9 18 23 46 69 127 138 207 254 381 414 762 1143 2286 2551 2921 5102 5842 7653 8763 15306 17526 22959 26289 45918 52578 58673 117346 176019 323977 352038 528057 647954 971931 1056114 1943862 2915793 5831586 7451471 14902942 22354413 44708826 67063239 134126478