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134826000 = 2435323977
BaseRepresentation
bin10000000100101…
…00100000010000
3100101200212111120
420002110200100
5234003413000
621213442240
73225000501
oct1002244020
9311625446
10134826000
116a118851
12391a0380
1321c182ca
1413c98ba8
15bc836a0
hex8094810

134826000 has 160 divisors (see below), whose sum is σ = 454042368. Its totient is φ = 34355200.

The previous prime is 134825989. The next prime is 134826007. The reversal of 134826000 is 628431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (134826007) 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, 137512 + ... + 138488.

Almost surely, 2134826000 is an apocalyptic number.

134826000 is a gapful number since it is divisible by the number (10) 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 134826000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227021184).

134826000 is an abundant number, since it is smaller than the sum of its proper divisors (319216368).

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

134826000 is a wasteful number, since it uses less digits than its factorization.

134826000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 134826000 is about 11611.4598565383. The cubic root of 134826000 is about 512.7722923463.

The spelling of 134826000 in words is "one hundred thirty-four million, eight hundred twenty-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 40 46 48 50 60 69 75 80 92 100 115 120 125 138 150 184 200 230 240 250 276 300 345 368 375 400 460 500 552 575 600 690 750 920 977 1000 1104 1150 1200 1380 1500 1725 1840 1954 2000 2300 2760 2875 2931 3000 3450 3908 4600 4885 5520 5750 5862 6000 6900 7816 8625 9200 9770 11500 11724 13800 14655 15632 17250 19540 22471 23000 23448 24425 27600 29310 34500 39080 44942 46000 46896 48850 58620 67413 69000 73275 78160 89884 97700 112355 117240 122125 134826 138000 146550 179768 195400 224710 234480 244250 269652 293100 337065 359536 366375 390800 449420 488500 539304 561775 586200 674130 732750 898840 977000 1078608 1123550 1172400 1348260 1465500 1685325 1797680 1954000 2247100 2696520 2808875 2931000 3370650 4494200 5393040 5617750 5862000 6741300 8426625 8988400 11235500 13482600 16853250 22471000 26965200 33706500 44942000 67413000 134826000