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135121470 = 235112411699
BaseRepresentation
bin10000000110111…
…00101000111110
3100102020212210220
420003130220332
5234042341340
621224042210
73230341101
oct1003345076
9312225726
10135121470
116a2aa840
1239303366
1321cbc943
1413d34738
15bce0ed0
hex80dca3e

135121470 has 64 divisors (see below), whose sum is σ = 355449600. Its totient is φ = 32601600.

The previous prime is 135121451. The next prime is 135121471. The reversal of 135121470 is 74121531.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 135121470.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135121471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78681 + ... + 80379.

It is an arithmetic number, because the mean of its divisors is an integer number (5553900).

Almost surely, 2135121470 is an apocalyptic number.

135121470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135121470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177724800).

135121470 is an abundant number, since it is smaller than the sum of its proper divisors (220328130).

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

135121470 is a wasteful number, since it uses less digits than its factorization.

135121470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961.

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 135121470 is about 11624.1760998361. The cubic root of 135121470 is about 513.1465977152.

The spelling of 135121470 in words is "one hundred thirty-five million, one hundred twenty-one thousand, four hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 241 330 482 723 1205 1446 1699 2410 2651 3398 3615 5097 5302 7230 7953 8495 10194 13255 15906 16990 18689 25485 26510 37378 39765 50970 56067 79530 93445 112134 186890 280335 409459 560670 818918 1228377 2047295 2456754 4094590 4504049 6141885 9008098 12283770 13512147 22520245 27024294 45040490 67560735 135121470