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135870696 = 2334131272
BaseRepresentation
bin10000001100100…
…11100011101000
3100110122221120000
420012103203220
5234240330241
621252103000
73236611323
oct1006234350
9313587500
10135870696
116a771735
1239604a60
13221c2980
141408b7ba
15bddceb6
hex81938e8

135870696 has 120 divisors (see below), whose sum is σ = 413090370. Its totient is φ = 41477184.

The previous prime is 135870689. The next prime is 135870701. The reversal of 135870696 is 696078531.

It is a happy number.

135870696 is a `hidden beast` number, since 1 + 3 + 587 + 0 + 69 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 130644900 + 5225796 = 11430^2 + 2286^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1069785 + ... + 1069911.

Almost surely, 2135870696 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 135870696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206545185).

135870696 is an abundant number, since it is smaller than the sum of its proper divisors (277219674).

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

135870696 is a wasteful number, since it uses less digits than its factorization.

135870696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 135870696 is about 11656.3586080731. The cubic root of 135870696 is about 514.0932875338.

The spelling of 135870696 in words is "one hundred thirty-five million, eight hundred seventy thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 127 156 162 216 234 254 312 324 351 381 468 508 648 702 762 936 1016 1053 1143 1404 1524 1651 2106 2286 2808 3048 3302 3429 4212 4572 4953 6604 6858 8424 9144 9906 10287 13208 13716 14859 16129 19812 20574 27432 29718 32258 39624 41148 44577 48387 59436 64516 82296 89154 96774 118872 129032 133731 145161 178308 193548 209677 267462 290322 356616 387096 419354 435483 534924 580644 629031 838708 870966 1069848 1161288 1258062 1306449 1677416 1741932 1887093 2516124 2612898 3483864 3774186 5032248 5225796 5661279 7548372 10451592 11322558 15096744 16983837 22645116 33967674 45290232 67935348 135870696