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135702378 = 2357113353
BaseRepresentation
bin10000001011010…
…10011101101010
3100110100101200000
420011222131222
5234214434003
621244323430
73235310520
oct1005523552
9313311600
10135702378
116a667229
1239543576
1322164186
1414046310
15bda81a3
hex816a76a

135702378 has 96 divisors (see below), whose sum is σ = 352550016. Its totient is φ = 38320128.

The previous prime is 135702373. The next prime is 135702379. The reversal of 135702378 is 873207531.

135702378 is a `hidden beast` number, since 13 + 570 + 2 + 3 + 78 = 666.

It is not an unprimeable number, because it can be changed into a prime (135702373) 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 47 ways as a sum of consecutive naturals, for example, 384250 + ... + 384602.

It is an arithmetic number, because the mean of its divisors is an integer number (3672396).

Almost surely, 2135702378 is an apocalyptic number.

135702378 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135702378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176275008).

135702378 is an abundant number, since it is smaller than the sum of its proper divisors (216847638).

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

135702378 is a wasteful number, since it uses less digits than its factorization.

135702378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 135702378 is about 11649.1363628382. The cubic root of 135702378 is about 513.8809118143.

The spelling of 135702378 in words is "one hundred thirty-five million, seven hundred two thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 113 126 162 189 226 243 339 353 378 486 567 678 706 791 1017 1059 1134 1582 1701 2034 2118 2373 2471 3051 3177 3402 4746 4942 6102 6354 7119 7413 9153 9531 14238 14826 18306 19062 21357 22239 27459 28593 39889 42714 44478 54918 57186 64071 66717 79778 85779 119667 128142 133434 171558 192213 200151 239334 279223 359001 384426 400302 558446 600453 718002 837669 1077003 1200906 1675338 2154006 2513007 3231009 5026014 6462018 7539021 9693027 15078042 19386054 22617063 45234126 67851189 135702378