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128342136 = 233134179127
BaseRepresentation
bin1111010011001…
…01100001111000
322221111110022110
413221211201320
5230323422021
620422452320
73115614216
oct751454170
9287443273
10128342136
116649a38a
1236b940a0
1320787cc0
141308bcb6
15b402476
hex7a65878

128342136 has 128 divisors (see below), whose sum is σ = 361267200. Its totient is φ = 37739520.

The previous prime is 128342117. The next prime is 128342167. The reversal of 128342136 is 631243821.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1010505 + ... + 1010631.

It is an arithmetic number, because the mean of its divisors is an integer number (2822400).

Almost surely, 2128342136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128342136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180633600).

128342136 is an abundant number, since it is smaller than the sum of its proper divisors (232925064).

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

128342136 is a wasteful number, since it uses less digits than its factorization.

128342136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 265 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 128342136 is about 11328.8188263384. The cubic root of 128342136 is about 504.4170458416.

Adding to 128342136 its reverse (631243821), we get a palindrome (759585957).

The spelling of 128342136 in words is "one hundred twenty-eight million, three hundred forty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 41 52 78 79 82 104 123 127 156 158 164 237 246 254 312 316 328 381 474 492 508 533 632 762 948 984 1016 1027 1066 1524 1599 1651 1896 2054 2132 3048 3081 3198 3239 3302 4108 4264 4953 5207 6162 6396 6478 6604 8216 9717 9906 10033 10414 12324 12792 12956 13208 15621 19434 19812 20066 20828 24648 25912 30099 31242 38868 39624 40132 41656 42107 60198 62484 67691 77736 80264 84214 120396 124968 126321 130429 135382 168428 203073 240792 252642 260858 270764 336856 391287 406146 411353 505284 521716 541528 782574 812292 822706 1010568 1043432 1234059 1565148 1624584 1645412 2468118 3130296 3290824 4936236 5347589 9872472 10695178 16042767 21390356 32085534 42780712 64171068 128342136