Search a number
-
+
136515000 = 2335419479
BaseRepresentation
bin10000010001100…
…00110110111000
3100111212200101010
420020300312320
5234421440000
621313553520
73245233626
oct1010606670
9314780333
10136515000
1170071816
12398758a0
132238a00b
14141b8516
15beb8d50
hex8230db8

136515000 has 160 divisors (see below), whose sum is σ = 449856000. Its totient is φ = 34416000.

The previous prime is 136514999. The next prime is 136515017. The reversal of 136515000 is 515631.

It is a happy number.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 284761 + ... + 285239.

It is an arithmetic number, because the mean of its divisors is an integer number (2811600).

Almost surely, 2136515000 is an apocalyptic number.

136515000 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 136515000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224928000).

136515000 is an abundant number, since it is smaller than the sum of its proper divisors (313341000).

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

136515000 is a wasteful number, since it uses less digits than its factorization.

136515000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 136515000 is about 11683.9633686519. The cubic root of 136515000 is about 514.9046230513.

The spelling of 136515000 in words is "one hundred thirty-six million, five hundred fifteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 125 150 152 190 200 228 250 285 300 375 380 456 475 479 500 570 600 625 750 760 950 958 1000 1140 1250 1425 1437 1500 1875 1900 1916 2280 2375 2395 2500 2850 2874 3000 3750 3800 3832 4750 4790 5000 5700 5748 7125 7185 7500 9101 9500 9580 11400 11496 11875 11975 14250 14370 15000 18202 19000 19160 23750 23950 27303 28500 28740 35625 35925 36404 45505 47500 47900 54606 57000 57480 59875 71250 71850 72808 91010 95000 95800 109212 119750 136515 142500 143700 179625 182020 218424 227525 239500 273030 285000 287400 299375 359250 364040 455050 479000 546060 598750 682575 718500 898125 910100 1092120 1137625 1197500 1365150 1437000 1796250 1820200 2275250 2395000 2730300 3412875 3592500 4550500 5460600 5688125 6825750 7185000 9101000 11376250 13651500 17064375 22752500 27303000 34128750 45505000 68257500 136515000