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136374611000 = 2353318949429
BaseRepresentation
bin111111100000010001…
…1110110110000111000
3111001000011220000222112
41333000203312300320
54213243400023000
6142352153111452
712565330032035
oct1770043666070
9431004800875
10136374611000
1152921a04791
122251b6b8588
13cb247628c4
146859d5038c
1538327e7235
hex1fc08f6c38

136374611000 has 128 divisors (see below), whose sum is σ = 333118656000. Its totient is φ = 52195968000.

The previous prime is 136374610993. The next prime is 136374611017. The reversal of 136374611000 is 116473631.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2734286 + ... + 2783714.

It is an arithmetic number, because the mean of its divisors is an integer number (2602489500).

Almost surely, 2136374611000 is an apocalyptic number.

136374611000 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 136374611000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166559328000).

136374611000 is an abundant number, since it is smaller than the sum of its proper divisors (196744045000).

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

136374611000 is a wasteful number, since it uses less digits than its factorization.

136374611000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49570 (or 49556 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The spelling of 136374611000 in words is "one hundred thirty-six billion, three hundred seventy-four million, six hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 89 100 124 125 155 178 200 248 250 310 356 445 500 620 712 775 890 1000 1240 1550 1780 2225 2759 3100 3560 3875 4450 5518 6200 7750 8900 11036 11125 13795 15500 17800 22072 22250 27590 31000 44500 49429 55180 68975 89000 98858 110360 137950 197716 247145 275900 344875 395432 494290 551800 689750 988580 1235725 1379500 1532299 1977160 2471450 2759000 3064598 4399181 4942900 6129196 6178625 7661495 8798362 9885800 12258392 12357250 15322990 17596724 21995905 24714500 30645980 35193448 38307475 43991810 49429000 61291960 76614950 87983620 109979525 136374611 153229900 175967240 191537375 219959050 272749222 306459800 383074750 439918100 545498444 549897625 681873055 766149500 879836200 1090996888 1099795250 1363746110 1532299000 2199590500 2727492220 3409365275 4399181000 5454984440 6818730550 13637461100 17046826375 27274922200 34093652750 68187305500 136374611000