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135192715220 = 225172361283411
BaseRepresentation
bin111110111101000011…
…1010001111111010100
3110220221210221111202202
41331322013101333110
54203333313341340
6142035013024032
712524126055533
oct1757207217724
9426853844682
10135192715220
1152375843a12
122224b925018
13c9969399a4
146786db431a
1537b3b85c15
hex1f7a1d1fd4

135192715220 has 96 divisors (see below), whose sum is σ = 318818094336. Its totient is φ = 47884953600.

The previous prime is 135192715213. The next prime is 135192715223. The reversal of 135192715220 is 22517291531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135192715223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 335315 + ... + 618725.

It is an arithmetic number, because the mean of its divisors is an integer number (3321021816).

Almost surely, 2135192715220 is an apocalyptic number.

135192715220 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 135192715220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159409047168).

135192715220 is an abundant number, since it is smaller than the sum of its proper divisors (183625379116).

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

135192715220 is a wasteful number, since it uses less digits than its factorization.

135192715220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283521 (or 283519 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 38.

The spelling of 135192715220 in words is "one hundred thirty-five billion, one hundred ninety-two million, seven hundred fifteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 23 34 46 61 68 85 92 115 122 170 230 244 305 340 391 460 610 782 1037 1220 1403 1564 1955 2074 2806 3910 4148 5185 5612 7015 7820 10370 14030 20740 23851 28060 47702 95404 119255 238510 283411 477020 566822 1133644 1417055 2834110 4817987 5668220 6518453 9635974 13036906 17288071 19271948 24089935 26073812 32592265 34576142 48179870 65184530 69152284 86440355 96359740 110813701 130369060 172880710 221627402 293897207 345761420 397625633 443254804 554068505 587794414 795251266 1108137010 1175588828 1469486035 1590502532 1988128165 2216274020 2938972070 3976256330 5877944140 6759635761 7952512660 13519271522 27038543044 33798178805 67596357610 135192715220