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136152720 = 243251117191
BaseRepresentation
bin10000001110110…
…00011010010000
3100111012021102100
420013120122100
5234323341340
621302120400
73242164464
oct1007303220
9314167370
10136152720
116a944610
1239720100
1322291152
14141224a4
15be46830
hex81d8690

136152720 has 120 divisors (see below), whose sum is σ = 498843072. Its totient is φ = 33004800.

The previous prime is 136152719. The next prime is 136152761. The reversal of 136152720 is 27251631.

It is a happy number.

136152720 is a `hidden beast` number, since 1 + 3 + 615 + 27 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 676 + ... + 16515.

Almost surely, 2136152720 is an apocalyptic number.

136152720 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 136152720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249421536).

136152720 is an abundant number, since it is smaller than the sum of its proper divisors (362690352).

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

136152720 is a wasteful number, since it uses less digits than its factorization.

136152720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17221 (or 17212 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 136152720 is about 11668.4497684997. The cubic root of 136152720 is about 514.4487393220.

The spelling of 136152720 in words is "one hundred thirty-six million, one hundred fifty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 17191 34382 51573 68764 85955 103146 137528 154719 171910 189101 206292 257865 275056 309438 343820 378202 412584 515730 567303 618876 687640 756404 773595 825168 945505 1031460 1134606 1237752 1375280 1512808 1547190 1701909 1891010 2062920 2269212 2475504 2836515 3025616 3094380 3403818 3782020 4125840 4538424 5673030 6188760 6807636 7564040 8509545 9076848 11346060 12377520 13615272 15128080 17019090 22692120 27230544 34038180 45384240 68076360 136152720