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135909620 = 225711271113
BaseRepresentation
bin10000001100111…
…01000011110100
3100110201220221122
420012131003310
5234243101440
621253003112
73240132650
oct1006350364
9313656848
10135909620
116a798a00
1239623498
13222075c2
141409ba60
15bde97b5
hex819d0f4

135909620 has 144 divisors (see below), whose sum is σ = 366799104. Its totient is φ = 41395200.

The previous prime is 135909619. The next prime is 135909643. The reversal of 135909620 is 26909531.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1202684 + ... + 1202796.

It is an arithmetic number, because the mean of its divisors is an integer number (2547216).

Almost surely, 2135909620 is an apocalyptic number.

135909620 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 135909620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183399552).

135909620 is an abundant number, since it is smaller than the sum of its proper divisors (230889484).

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

135909620 is a wasteful number, since it uses less digits than its factorization.

135909620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 35.

The square root of 135909620 is about 11658.0281351522. The cubic root of 135909620 is about 514.1423750294.

The spelling of 135909620 in words is "one hundred thirty-five million, nine hundred nine thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 71 77 110 113 121 140 142 154 220 226 242 284 308 355 385 452 484 497 565 605 710 770 781 791 847 994 1130 1210 1243 1420 1540 1562 1582 1694 1988 2260 2420 2485 2486 3124 3164 3388 3905 3955 4235 4970 4972 5467 6215 7810 7910 8023 8470 8591 8701 9940 10934 12430 13673 15620 15820 16046 16940 17182 17402 21868 24860 27335 27346 32092 34364 34804 40115 42955 43505 54670 54692 56161 60137 68365 80230 85910 87010 88253 95711 109340 112322 120274 136730 160460 171820 174020 176506 191422 224644 240548 273460 280805 300685 353012 382844 441265 478555 561610 601370 617771 882530 957110 970783 1123220 1202740 1235542 1765060 1914220 1941566 2471084 3088855 3883132 4853915 6177710 6795481 9707830 12355420 13590962 19415660 27181924 33977405 67954810 135909620