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136512556440 = 233513257933931
BaseRepresentation
bin111111100100011001…
…0000100110110011000
3111001100210110101112220
41333020302010312120
54214034203301230
6142414001504040
712601623404241
oct1771062046630
9431323411486
10136512556440
1152992863187
1222559942020
13cb47200a20
1468703bbcc8
15383e994d10
hex1fc8c84d98

136512556440 has 128 divisors (see below), whose sum is σ = 441224582400. Its totient is φ = 33589071360.

The previous prime is 136512556393. The next prime is 136512556441. The reversal of 136512556440 is 44655215631.

It is a junction number, because it is equal to n+sod(n) for n = 136512556392 and 136512556401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136512556441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4006275 + ... + 4040205.

It is an arithmetic number, because the mean of its divisors is an integer number (3447067050).

Almost surely, 2136512556440 is an apocalyptic number.

136512556440 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 136512556440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220612291200).

136512556440 is an abundant number, since it is smaller than the sum of its proper divisors (304712025960).

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

136512556440 is a wasteful number, since it uses less digits than its factorization.

136512556440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36537 (or 36533 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 136512556440 in words is "one hundred thirty-six billion, five hundred twelve million, five hundred fifty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 2579 5158 7737 10316 12895 15474 20632 25790 30948 33527 33931 38685 51580 61896 67054 67862 77370 100581 101793 103160 134108 135724 154740 167635 169655 201162 203586 268216 271448 309480 335270 339310 402324 407172 441103 502905 508965 670540 678620 804648 814344 882206 1005810 1017930 1323309 1341080 1357240 1764412 2011620 2035860 2205515 2646618 3528824 4023240 4071720 4411030 5293236 6616545 8822060 10586472 13233090 17644120 26466180 52932360 87508049 175016098 262524147 350032196 437540245 525048294 700064392 875080490 1050096588 1137604637 1312620735 1750160980 2100193176 2275209274 2625241470 3412813911 3500321960 4550418548 5250482940 5688023185 6825627822 9100837096 10500965880 11376046370 13651255644 17064069555 22752092740 27302511288 34128139110 45504185480 68256278220 136512556440