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134037072 = 24331329823
BaseRepresentation
bin1111111110100…
…11111001010000
3100100012210022000
413333103321100
5233303141242
621144514000
73215203431
oct777237120
9310183260
10134037072
116972a044
1238a7b900
1321a001a0
1413b31488
15bb79a4c
hex7fd3e50

134037072 has 160 divisors (see below), whose sum is σ = 429139200. Its totient is φ = 39771648.

The previous prime is 134037041. The next prime is 134037073. The reversal of 134037072 is 270730431.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134037073) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 162453 + ... + 163275.

It is an arithmetic number, because the mean of its divisors is an integer number (2682120).

Almost surely, 2134037072 is an apocalyptic number.

134037072 is a gapful number since it is divisible by the number (12) 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 134037072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214569600).

134037072 is an abundant number, since it is smaller than the sum of its proper divisors (295102128).

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

134037072 is a wasteful number, since it uses less digits than its factorization.

134037072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 134037072 is about 11577.4380585689. The cubic root of 134037072 is about 511.7701808745.

The spelling of 134037072 in words is "one hundred thirty-four million, thirty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 29 36 39 48 52 54 58 72 78 87 104 108 116 117 144 156 174 208 216 232 234 261 312 348 351 377 432 464 468 522 624 696 702 754 783 823 936 1044 1131 1392 1404 1508 1566 1646 1872 2088 2262 2469 2808 3016 3132 3292 3393 4176 4524 4938 5616 6032 6264 6584 6786 7407 9048 9876 10179 10699 12528 13168 13572 14814 18096 19752 20358 21398 22221 23867 27144 29628 32097 39504 40716 42796 44442 47734 54288 59256 64194 71601 81432 85592 88884 95468 96291 118512 128388 143202 162864 171184 177768 190936 192582 214803 256776 286404 288873 310271 355536 381872 385164 429606 513552 572808 577746 620542 644409 770328 859212 930813 1145616 1155492 1241084 1288818 1540656 1718424 1861626 2310984 2482168 2577636 2792439 3436848 3723252 4621968 4964336 5155272 5584878 7446504 8377317 10310544 11169756 14893008 16754634 22339512 33509268 44679024 67018536 134037072