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136755300 = 2235211291429
BaseRepresentation
bin10000010011010…
…11100001100100
3100112022220000010
420021223201210
5240002132200
621323050220
73250254333
oct1011534144
9315286003
10136755300
1170216310
1239970970
13224424c6
141423bd1a
15c015150
hex826b864

136755300 has 144 divisors (see below), whose sum is σ = 446846400. Its totient is φ = 31987200.

The previous prime is 136755287. The next prime is 136755337. The reversal of 136755300 is 3557631.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94986 + ... + 96414.

It is an arithmetic number, because the mean of its divisors is an integer number (3103100).

Almost surely, 2136755300 is an apocalyptic number.

136755300 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 136755300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223423200).

136755300 is an abundant number, since it is smaller than the sum of its proper divisors (310091100).

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

136755300 is a wasteful number, since it uses less digits than its factorization.

136755300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 30.

The square root of 136755300 is about 11694.2421729670. The cubic root of 136755300 is about 515.2065655790.

The spelling of 136755300 in words is "one hundred thirty-six million, seven hundred fifty-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 29 30 33 44 50 55 58 60 66 75 87 100 110 116 132 145 150 165 174 220 275 290 300 319 330 348 435 550 580 638 660 725 825 870 957 1100 1276 1429 1450 1595 1650 1740 1914 2175 2858 2900 3190 3300 3828 4287 4350 4785 5716 6380 7145 7975 8574 8700 9570 14290 15719 15950 17148 19140 21435 23925 28580 31438 31900 35725 41441 42870 47157 47850 62876 71450 78595 82882 85740 94314 95700 107175 124323 142900 157190 165764 188628 207205 214350 235785 248646 314380 392975 414410 428700 455851 471570 497292 621615 785950 828820 911702 943140 1036025 1178925 1243230 1367553 1571900 1823404 2072050 2279255 2357850 2486460 2735106 3108075 4144100 4558510 4715700 5470212 6216150 6837765 9117020 11396275 12432300 13675530 22792550 27351060 34188825 45585100 68377650 136755300