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136532880 = 243251117239
BaseRepresentation
bin10000010001101…
…01001110010000
3100111220120220100
420020311032100
5234423023010
621314212400
73245340021
oct1010651620
9314816810
10136532880
11700841a0
1239884100
13223951b3
14141c0c48
15bebe2c0
hex8235390

136532880 has 120 divisors (see below), whose sum is σ = 500235840. Its totient is φ = 33096960.

The previous prime is 136532873. The next prime is 136532909. The reversal of 136532880 is 88235631.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 700 + ... + 16539.

It is an arithmetic number, because the mean of its divisors is an integer number (4168632).

Almost surely, 2136532880 is an apocalyptic number.

136532880 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 136532880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250117920).

136532880 is an abundant number, since it is smaller than the sum of its proper divisors (363702960).

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

136532880 is a wasteful number, since it uses less digits than its factorization.

136532880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17269 (or 17260 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 136532880 is about 11684.7284949202. The cubic root of 136532880 is about 514.9271018821.

The spelling of 136532880 in words is "one hundred thirty-six million, five hundred thirty-two thousand, eight hundred eighty".

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 17239 34478 51717 68956 86195 103434 137912 155151 172390 189629 206868 258585 275824 310302 344780 379258 413736 517170 568887 620604 689560 758516 775755 827472 948145 1034340 1137774 1241208 1379120 1517032 1551510 1706661 1896290 2068680 2275548 2482416 2844435 3034064 3103020 3413322 3792580 4137360 4551096 5688870 6206040 6826644 7585160 8533305 9102192 11377740 12412080 13653288 15170320 17066610 22755480 27306576 34133220 45510960 68266440 136532880