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136149520 = 245133141103
BaseRepresentation
bin10000001110101…
…11101000010000
3100111012010000211
420013113220100
5234323241040
621302053504
73242152243
oct1007275020
9314163024
10136149520
116a942171
123971a294
132228c860
141412125a
15be458ea
hex81d7a10

136149520 has 160 divisors (see below), whose sum is σ = 363976704. Its totient is φ = 47001600.

The previous prime is 136149511. The next prime is 136149539. The reversal of 136149520 is 25941631.

It is a Harshad number since it is a multiple of its sum of digits (31).

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 31 ways as a sum of consecutive naturals, for example, 1321789 + ... + 1321891.

Almost surely, 2136149520 is an apocalyptic number.

136149520 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 136149520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181988352).

136149520 is an abundant number, since it is smaller than the sum of its proper divisors (227827184).

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

136149520 is a wasteful number, since it uses less digits than its factorization.

136149520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 136149520 is about 11668.3126457942. The cubic root of 136149520 is about 514.4447089242. Note that the first 3 decimals are identical.

The spelling of 136149520 in words is "one hundred thirty-six million, one hundred forty-nine thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 41 52 62 65 80 82 103 104 124 130 155 164 205 206 208 248 260 310 328 403 410 412 496 515 520 533 620 656 806 820 824 1030 1040 1066 1240 1271 1339 1612 1640 1648 2015 2060 2132 2480 2542 2665 2678 3193 3224 3280 4030 4120 4223 4264 5084 5330 5356 6355 6386 6448 6695 8060 8240 8446 8528 10168 10660 10712 12710 12772 13390 15965 16120 16523 16892 20336 21115 21320 21424 25420 25544 26780 31930 32240 33046 33784 41509 42230 42640 50840 51088 53560 54899 63860 66092 67568 82615 83018 84460 101680 107120 109798 127720 130913 132184 165230 166036 168920 207545 219596 255440 261826 264368 274495 330460 332072 337840 415090 439192 523652 548990 654565 660920 664144 830180 878384 1047304 1097980 1309130 1321840 1660360 1701869 2094608 2195960 2618260 3320720 3403738 4391920 5236520 6807476 8509345 10473040 13614952 17018690 27229904 34037380 68074760 136149520