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134138088 = 233272193197
BaseRepresentation
bin1111111111011…
…00100011101000
3100100101220212100
413333230203220
5233314404323
621151013400
73216104100
oct777544350
9310356770
10134138088
1169798a27
1238b0a260
1321a37166
1413b5a200
15bb99943
hex7fec8e8

134138088 has 144 divisors (see below), whose sum is σ = 426949380. Its totient is φ = 37933056.

The previous prime is 134138077. The next prime is 134138111. The reversal of 134138088 is 880831431.

It can be written as a sum of positive squares in 2 ways, for example, as 129549924 + 4588164 = 11382^2 + 2142^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 680806 + ... + 681002.

Almost surely, 2134138088 is an apocalyptic number.

134138088 is a gapful number since it is divisible by the number (18) 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 134138088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213474690).

134138088 is an abundant number, since it is smaller than the sum of its proper divisors (292811292).

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

134138088 is a wasteful number, since it uses less digits than its factorization.

134138088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 134138088 is about 11581.7998601254. The cubic root of 134138088 is about 511.8987124671.

The spelling of 134138088 in words is "one hundred thirty-four million, one hundred thirty-eight thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 193 196 197 252 294 386 392 394 441 504 579 588 591 772 788 882 1158 1176 1182 1351 1379 1544 1576 1737 1764 1773 2316 2364 2702 2758 3474 3528 3546 4053 4137 4632 4728 5404 5516 6948 7092 8106 8274 9457 9653 10808 11032 12159 12411 13896 14184 16212 16548 18914 19306 24318 24822 28371 28959 32424 33096 37828 38021 38612 48636 49644 56742 57918 75656 76042 77224 85113 86877 97272 99288 113484 114063 115836 152084 170226 173754 226968 228126 231672 266147 304168 340452 342189 347508 456252 532294 680904 684378 695016 798441 912504 1064588 1368756 1596882 1863029 2129176 2395323 2737512 3193764 3726058 4790646 5589087 6387528 7452116 9581292 11178174 14904232 16767261 19162584 22356348 33534522 44712696 67069044 134138088