Search a number
-
+
135343500 = 22353233923
BaseRepresentation
bin10000001000100…
…10110110001100
3100102200011101020
420010102312030
5234121443000
621232514140
73232254315
oct1004226614
9312604336
10135343500
116a441636
12393ab950
1322069a16
1413d9160c
15bd36ba0
hex8112d8c

135343500 has 96 divisors (see below), whose sum is σ = 411360768. Its totient is φ = 34513600.

The previous prime is 135343487. The next prime is 135343513. The reversal of 135343500 is 5343531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (135343487) and next prime (135343513).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32539 + ... + 36461.

It is an arithmetic number, because the mean of its divisors is an integer number (4285008).

Almost surely, 2135343500 is an apocalyptic number.

135343500 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 135343500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205680384).

135343500 is an abundant number, since it is smaller than the sum of its proper divisors (276017268).

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

135343500 is a wasteful number, since it uses less digits than its factorization.

135343500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3968 (or 3956 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 135343500 is about 11633.7225340817. The cubic root of 135343500 is about 513.4275093795.

The spelling of 135343500 in words is "one hundred thirty-five million, three hundred forty-three thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 125 138 150 230 250 276 300 345 375 460 500 575 690 750 1150 1380 1500 1725 2300 2875 3450 3923 5750 6900 7846 8625 11500 11769 15692 17250 19615 23538 34500 39230 47076 58845 78460 90229 98075 117690 180458 196150 235380 270687 294225 360916 392300 451145 490375 541374 588450 902290 980750 1082748 1176900 1353435 1471125 1804580 1961500 2255725 2706870 2942250 4511450 5413740 5884500 6767175 9022900 11278625 13534350 22557250 27068700 33835875 45114500 67671750 135343500