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136194720 = 2535476037
BaseRepresentation
bin10000001111000…
…10101010100000
3100111021102000220
420013202222200
5234331212340
621303043040
73242431104
oct1007425240
9314242026
10136194720
116a973122
1239740480
13222a72bc
1414133904
15be53ed0
hex81e2aa0

136194720 has 96 divisors (see below), whose sum is σ = 438213888. Its totient is φ = 35539968.

The previous prime is 136194689. The next prime is 136194727. The reversal of 136194720 is 27491631.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (136194727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19542 + ... + 25578.

It is an arithmetic number, because the mean of its divisors is an integer number (4564728).

Almost surely, 2136194720 is an apocalyptic number.

136194720 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 136194720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219106944).

136194720 is an abundant number, since it is smaller than the sum of its proper divisors (302019168).

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

136194720 is a wasteful number, since it uses less digits than its factorization.

136194720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6102 (or 6094 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 136194720 is about 11670.2493546625. The cubic root of 136194720 is about 514.5016324401.

The spelling of 136194720 in words is "one hundred thirty-six million, one hundred ninety-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 80 94 96 120 141 160 188 235 240 282 376 470 480 564 705 752 940 1128 1410 1504 1880 2256 2820 3760 4512 5640 6037 7520 11280 12074 18111 22560 24148 30185 36222 48296 60370 72444 90555 96592 120740 144888 181110 193184 241480 283739 289776 362220 482960 567478 579552 724440 851217 965920 1134956 1418695 1448880 1702434 2269912 2837390 2897760 3404868 4256085 4539824 5674780 6809736 8512170 9079648 11349560 13619472 17024340 22699120 27238944 34048680 45398240 68097360 136194720