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134841672 = 23387367
BaseRepresentation
bin10000000100110…
…00010101001000
3100101201200000000
420002120111020
5234004413142
621214043000
73225064260
oct1002302510
9311650000
10134841672
116a1295a9
12391a9460
1321c22494
1413ca07a0
15bc8814c
hex8098548

134841672 has 144 divisors (see below), whose sum is σ = 434578560. Its totient is φ = 38421216.

The previous prime is 134841643. The next prime is 134841673. The reversal of 134841672 is 276148431.

134841672 is a `hidden beast` number, since 13 + 484 + 167 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134841673) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 367233 + ... + 367599.

Almost surely, 2134841672 is an apocalyptic number.

134841672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134841672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217289280).

134841672 is an abundant number, since it is smaller than the sum of its proper divisors (299736888).

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

134841672 is an frugal number, since it uses more digits than its factorization.

134841672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 379 counting only the distinct ones).

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

The square root of 134841672 is about 11612.1346874724. The cubic root of 134841672 is about 512.7921595728.

The spelling of 134841672 in words is "one hundred thirty-four million, eight hundred forty-one thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 367 378 486 504 567 648 729 734 756 972 1101 1134 1458 1468 1512 1701 1944 2187 2202 2268 2569 2916 2936 3303 3402 4374 4404 4536 5103 5138 5832 6561 6606 6804 7707 8748 8808 9909 10206 10276 13122 13212 13608 15309 15414 17496 19818 20412 20552 23121 26244 26424 29727 30618 30828 39636 40824 45927 46242 52488 59454 61236 61656 69363 79272 89181 91854 92484 118908 122472 138726 178362 183708 184968 208089 237816 267543 277452 356724 367416 416178 535086 554904 624267 713448 802629 832356 1070172 1248534 1605258 1664712 1872801 2140344 2407887 2497068 3210516 3745602 4815774 4994136 5618403 6421032 7491204 9631548 11236806 14982408 16855209 19263096 22473612 33710418 44947224 67420836 134841672