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134538084 = 2234617673
BaseRepresentation
bin10000000010011…
…10001101100100
3100101011020120000
420001032031210
5233420204314
621203341300
73222361212
oct1001161544
9311136500
10134538084
1169a414aa
1239081830
1321b47245
1413c21cb2
15bc28209
hex804e364

134538084 has 60 divisors (see below), whose sum is σ = 352802604. Its totient is φ = 44706816.

The previous prime is 134538083. The next prime is 134538101. The reversal of 134538084 is 480835431.

It can be written as a sum of positive squares in 2 ways, for example, as 19448100 + 115089984 = 4410^2 + 10728^2 .

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

It is not an unprimeable number, because it can be changed into a prime (134538083) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 199572 + ... + 200244.

Almost surely, 2134538084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134538084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176401302).

134538084 is an abundant number, since it is smaller than the sum of its proper divisors (218264520).

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

134538084 is a wasteful number, since it uses less digits than its factorization.

134538084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 134538084 is about 11599.0553063601. The cubic root of 134538084 is about 512.4070300523.

The spelling of 134538084 in words is "one hundred thirty-four million, five hundred thirty-eight thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 617 673 1234 1346 1851 2019 2468 2692 3702 4038 5553 6057 7404 8076 11106 12114 16659 18171 22212 24228 33318 36342 49977 54513 66636 72684 99954 109026 199908 218052 415241 830482 1245723 1660964 2491446 3737169 4982892 7474338 11211507 14948676 22423014 33634521 44846028 67269042 134538084