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136704128 = 2711791229
BaseRepresentation
bin10000010010111…
…11000010000000
3100112020021210212
420021133002000
5234444013003
621322013252
73246652211
oct1011370200
9315207725
10136704128
1170190920
1239947228
1322425122
1414227408
15c004dd8
hex825f080

136704128 has 64 divisors (see below), whose sum is σ = 301104000. Its totient is φ = 61301760.

The previous prime is 136704109. The next prime is 136704151. The reversal of 136704128 is 821407631.

136704128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1367041282 = 37376037224480768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 136704094 and 136704103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110618 + ... + 111846.

It is an arithmetic number, because the mean of its divisors is an integer number (4704750).

Almost surely, 2136704128 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 136704128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150552000).

136704128 is an abundant number, since it is smaller than the sum of its proper divisors (164399872).

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

136704128 is a wasteful number, since it uses less digits than its factorization.

136704128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 136704128 is about 11692.0540539291. The cubic root of 136704128 is about 515.1422964320.

The spelling of 136704128 in words is "one hundred thirty-six million, seven hundred four thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 79 88 128 158 176 316 352 632 704 869 1229 1264 1408 1738 2458 2528 3476 4916 5056 6952 9832 10112 13519 13904 19664 27038 27808 39328 54076 55616 78656 97091 108152 111232 157312 194182 216304 388364 432608 776728 865216 1068001 1553456 1730432 2136002 3106912 4272004 6213824 8544008 12427648 17088016 34176032 68352064 136704128