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136146420 = 22345312711
BaseRepresentation
bin10000001110101…
…10110111110100
3100111011221210000
420013112313310
5234323141140
621302031300
73242140224
oct1007266764
9314157700
10136146420
116a93a903
1239718530
132228b317
1414120084
15be44a30
hex81d6df4

136146420 has 120 divisors (see below), whose sum is σ = 441036288. Its totient is φ = 35121600.

The previous prime is 136146403. The next prime is 136146427. The reversal of 136146420 is 24641631.

136146420 is a `hidden beast` number, since 1 + 3 + 6 + 14 + 642 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136146427) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 48865 + ... + 51575.

Almost surely, 2136146420 is an apocalyptic number.

136146420 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 136146420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220518144).

136146420 is an abundant number, since it is smaller than the sum of its proper divisors (304889868).

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

136146420 is a wasteful number, since it uses less digits than its factorization.

136146420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2763 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 136146420 is about 11668.1798066365. The cubic root of 136146420 is about 514.4408044162.

The spelling of 136146420 in words is "one hundred thirty-six million, one hundred forty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 81 90 93 108 124 135 155 162 180 186 270 279 310 324 372 405 465 540 558 620 810 837 930 1116 1395 1620 1674 1860 2511 2711 2790 3348 4185 5022 5422 5580 8133 8370 10044 10844 12555 13555 16266 16740 24399 25110 27110 32532 40665 48798 50220 54220 73197 81330 84041 97596 121995 146394 162660 168082 219591 243990 252123 292788 336164 365985 420205 439182 487980 504246 731970 756369 840410 878364 1008492 1097955 1260615 1463940 1512738 1680820 2195910 2269107 2521230 3025476 3781845 4391820 4538214 5042460 6807321 7563690 9076428 11345535 13614642 15127380 22691070 27229284 34036605 45382140 68073210 136146420