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134985656 = 231331149281
BaseRepresentation
bin10000000101110…
…11011110111000
3100101222222111202
420002323132320
5234024020111
621221113332
73226234121
oct1002733670
9311888452
10134985656
116a2177a3
1239258848
1321c72b90
1413cdb048
15bcb5b3b
hex80bb7b8

134985656 has 64 divisors (see below), whose sum is σ = 284256000. Its totient is φ = 59673600.

The previous prime is 134985649. The next prime is 134985659. The reversal of 134985656 is 656589431.

It is a happy number.

134985656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1349856562 = 36442254651500672, which contains 22 as substring.

Its product of digits (777600) is a multiple of the sum of its prime factors (480).

It is a self number, because there is not a number n which added to its sum of digits gives 134985656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134985659) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 480236 + ... + 480516.

It is an arithmetic number, because the mean of its divisors is an integer number (4441500).

Almost surely, 2134985656 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 134985656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142128000).

134985656 is an abundant number, since it is smaller than the sum of its proper divisors (149270344).

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

134985656 is a wasteful number, since it uses less digits than its factorization.

134985656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 476 counting only the distinct ones).

The product of its digits is 777600, while the sum is 47.

The square root of 134985656 is about 11618.3327547458. The cubic root of 134985656 is about 512.9746145484.

The spelling of 134985656 in words is "one hundred thirty-four million, nine hundred eighty-five thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 149 248 281 298 403 562 596 806 1124 1192 1612 1937 2248 3224 3653 3874 4619 7306 7748 8711 9238 14612 15496 17422 18476 29224 34844 36952 41869 60047 69688 83738 113243 120094 167476 226486 240188 334952 452972 480376 544297 905944 1088594 1297939 2177188 2595878 4354376 5191756 10383512 16873207 33746414 67492828 134985656