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136072300 = 225271319787
BaseRepresentation
bin10000001110001…
…00110001101100
3100111001012002211
420013010301230
5234313303200
621300300204
73241411150
oct1007046154
9314035084
10136072300
116a89a151
12396a1664
1322263670
1414101060
15be2caba
hex81c4c6c

136072300 has 144 divisors (see below), whose sum is σ = 383031040. Its totient is φ = 40746240.

The previous prime is 136072271. The next prime is 136072309. The reversal of 136072300 is 3270631.

It is not an unprimeable number, because it can be changed into a prime (136072309) by changing a digit.

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, 172507 + ... + 173293.

Almost surely, 2136072300 is an apocalyptic number.

136072300 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 136072300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191515520).

136072300 is an abundant number, since it is smaller than the sum of its proper divisors (246958740).

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

136072300 is a wasteful number, since it uses less digits than its factorization.

136072300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 22.

The square root of 136072300 is about 11665.0032147445. The cubic root of 136072300 is about 514.3474312324.

The spelling of 136072300 in words is "one hundred thirty-six million, seventy-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 13 14 19 20 25 26 28 35 38 50 52 65 70 76 91 95 100 130 133 140 175 182 190 247 260 266 325 350 364 380 455 475 494 532 650 665 700 787 910 950 988 1235 1300 1330 1574 1729 1820 1900 2275 2470 2660 3148 3325 3458 3935 4550 4940 5509 6175 6650 6916 7870 8645 9100 10231 11018 12350 13300 14953 15740 17290 19675 20462 22036 24700 27545 29906 34580 39350 40924 43225 51155 55090 59812 71617 74765 78700 86450 102310 104671 110180 137725 143234 149530 172900 194389 204620 209342 255775 275450 286468 299060 358085 373825 388778 418684 511550 523355 550900 716170 747650 777556 971945 1023100 1046710 1360723 1432340 1495300 1790425 1943890 2093420 2616775 2721446 3580850 3887780 4859725 5233550 5442892 6803615 7161700 9719450 10467100 13607230 19438900 27214460 34018075 68036150 136072300