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134015728 = 2471132931
BaseRepresentation
bin1111111110011…
…10101011110000
3100100011201000111
413333032223300
5233302000403
621144231104
73215054260
oct777165360
9310151014
10134015728
1169715000
1238a6b494
13219c3562
1413b277a0
15bb7356d
hex7fceaf0

134015728 has 160 divisors (see below), whose sum is σ = 348549120. Its totient is φ = 48787200.

The previous prime is 134015639. The next prime is 134015737. The reversal of 134015728 is 827510431.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a self number, because there is not a number n which added to its sum of digits gives 134015728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4323073 + ... + 4323103.

It is an arithmetic number, because the mean of its divisors is an integer number (2178432).

Almost surely, 2134015728 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 134015728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174274560).

134015728 is an abundant number, since it is smaller than the sum of its proper divisors (214533392).

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

134015728 is a wasteful number, since it uses less digits than its factorization.

134015728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 134015728 is about 11576.5162289870. The cubic root of 134015728 is about 511.7430147519.

The spelling of 134015728 in words is "one hundred thirty-four million, fifteen thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 31 44 56 58 62 77 88 112 116 121 124 154 176 203 217 232 242 248 308 319 341 406 434 464 484 496 616 638 682 812 847 868 899 968 1232 1276 1331 1364 1624 1694 1736 1798 1936 2233 2387 2552 2662 2728 3248 3388 3472 3509 3596 3751 4466 4774 5104 5324 5456 6293 6776 7018 7192 7502 8932 9317 9548 9889 10648 12586 13552 14036 14384 15004 17864 18634 19096 19778 21296 24563 25172 26257 28072 30008 35728 37268 38192 38599 39556 41261 49126 50344 52514 56144 60016 69223 74536 77198 79112 82522 98252 100688 105028 108779 138446 149072 154396 158224 165044 196504 210056 217558 270193 276892 288827 308792 330088 393008 420112 435116 540386 553784 577654 617584 660176 761453 870232 1080772 1107568 1155308 1196569 1522906 1740464 2161544 2310616 2393138 3045812 4323088 4621232 4786276 6091624 8375983 9572552 12183248 16751966 19145104 33503932 67007864 134015728