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134815644 = 22331797757
BaseRepresentation
bin10000000100100…
…01111110011100
3100101200100022000
420002101332130
5234003100034
621213322300
73224625345
oct1002217634
9311610260
10134815644
116a110a97
1239196390
1321c13692
1413c950cc
15bc80599
hex8091f9c

134815644 has 96 divisors (see below), whose sum is σ = 374391360. Its totient is φ = 41803776.

The previous prime is 134815643. The next prime is 134815663. The reversal of 134815644 is 446518431.

134815644 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 1 + 5 + 644 = 666.

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 = 134815599 and 134815608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134815643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177714 + ... + 178470.

It is an arithmetic number, because the mean of its divisors is an integer number (3899910).

Almost surely, 2134815644 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 134815644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187195680).

134815644 is an abundant number, since it is smaller than the sum of its proper divisors (239575716).

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

134815644 is a wasteful number, since it uses less digits than its factorization.

134815644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 876 counting only the distinct ones).

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

The square root of 134815644 is about 11611.0139092157. The cubic root of 134815644 is about 512.7591633113.

The spelling of 134815644 in words is "one hundred thirty-four million, eight hundred fifteen thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 97 102 108 153 194 204 291 306 388 459 582 612 757 873 918 1164 1514 1649 1746 1836 2271 2619 3028 3298 3492 4542 4947 5238 6596 6813 9084 9894 10476 12869 13626 14841 19788 20439 25738 27252 29682 38607 40878 44523 51476 59364 73429 77214 81756 89046 115821 146858 154428 178092 220287 231642 293716 347463 440574 463284 660861 694926 881148 1248293 1321722 1389852 1982583 2496586 2643444 3744879 3965166 4993172 7489758 7930332 11234637 14979516 22469274 33703911 44938548 67407822 134815644