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135950500 = 22537231179
BaseRepresentation
bin10000001101001…
…11000010100100
3100110211000000201
420012213002210
5234300404000
621253520244
73240363100
oct1006470244
9313730021
10135950500
116a816694
1239643084
13222200aa
14140ac900
15be0696a
hex81a70a4

135950500 has 144 divisors (see below), whose sum is σ = 358525440. Its totient is φ = 44856000.

The previous prime is 135950497. The next prime is 135950501. The reversal of 135950500 is 5059531.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a zygodrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (135950501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 759411 + ... + 759589.

It is an arithmetic number, because the mean of its divisors is an integer number (2489760).

Almost surely, 2135950500 is an apocalyptic number.

135950500 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 135950500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179262720).

135950500 is an abundant number, since it is smaller than the sum of its proper divisors (222574940).

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

135950500 is a wasteful number, since it uses less digits than its factorization.

135950500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 3375, while the sum is 28.

The square root of 135950500 is about 11659.7813015511. The cubic root of 135950500 is about 514.1939191690.

The spelling of 135950500 in words is "one hundred thirty-five million, nine hundred fifty thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 31 35 49 50 62 70 98 100 124 125 140 155 175 179 196 217 245 250 310 350 358 434 490 500 620 700 716 775 868 875 895 980 1085 1225 1253 1519 1550 1750 1790 2170 2450 2506 3038 3100 3500 3580 3875 4340 4475 4900 5012 5425 5549 6076 6125 6265 7595 7750 8771 8950 10850 11098 12250 12530 15190 15500 17542 17900 21700 22196 22375 24500 25060 27125 27745 30380 31325 35084 37975 38843 43855 44750 54250 55490 62650 75950 77686 87710 89500 108500 110980 125300 138725 151900 155372 156625 175420 189875 194215 219275 271901 277450 313250 379750 388430 438550 543802 554900 626500 693625 759500 776860 877100 971075 1087604 1096375 1359505 1387250 1942150 2192750 2719010 2774500 3884300 4385500 4855375 5438020 6797525 9710750 13595050 19421500 27190100 33987625 67975250 135950500