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136341000 = 23325315149
BaseRepresentation
bin10000010000001…
…10011000001000
3100111112211200200
420020012120020
5234400403000
621310132200
73243610425
oct1010063010
9314484620
10136341000
116aa63014
12397b1060
1322328a63
1414170d4c
15be82500
hex8206608

136341000 has 96 divisors (see below), whose sum is σ = 460863000. Its totient is φ = 36355200.

The previous prime is 136340989. The next prime is 136341013. The reversal of 136341000 is 143631.

It can be written as a sum of positive squares in 4 ways, for example, as 53494596 + 82846404 = 7314^2 + 9102^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1426 + ... + 16574.

Almost surely, 2136341000 is an apocalyptic number.

136341000 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 136341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230431500).

136341000 is an abundant number, since it is smaller than the sum of its proper divisors (324522000).

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

136341000 is a wasteful number, since it uses less digits than its factorization.

136341000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15176 (or 15159 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 136341000 is about 11676.5148910109. The cubic root of 136341000 is about 514.6857667689.

Adding to 136341000 its reverse (143631), we get a palindrome (136484631).

The spelling of 136341000 in words is "one hundred thirty-six million, three hundred forty-one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 15149 30298 45447 60596 75745 90894 121192 136341 151490 181788 227235 272682 302980 363576 378725 454470 545364 605960 681705 757450 908940 1090728 1136175 1363410 1514900 1817880 1893625 2272350 2726820 3029800 3408525 3787250 4544700 5453640 5680875 6817050 7574500 9089400 11361750 13634100 15149000 17042625 22723500 27268200 34085250 45447000 68170500 136341000