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134706048 = 2731937499
BaseRepresentation
bin10000000011101…
…11001110000000
3100101110202221220
420001313032000
5233441043143
621211115040
73223661001
oct1001671600
9311422856
10134706048
116a046714
1239142a80
1321ba5829
1413c671a8
15bc5cd83
hex8077380

134706048 has 128 divisors (see below), whose sum is σ = 387600000. Its totient is φ = 41306112.

The previous prime is 134706017. The next prime is 134706053. The reversal of 134706048 is 840607431.

134706048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×1347060483 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269703 + ... + 270201.

It is an arithmetic number, because the mean of its divisors is an integer number (3028125).

Almost surely, 2134706048 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 134706048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193800000).

134706048 is an abundant number, since it is smaller than the sum of its proper divisors (252893952).

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

134706048 is a wasteful number, since it uses less digits than its factorization.

134706048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 134706048 is about 11606.2934651852. The cubic root of 134706048 is about 512.6201794703.

The spelling of 134706048 in words is "one hundred thirty-four million, seven hundred six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 37 38 48 57 64 74 76 96 111 114 128 148 152 192 222 228 296 304 384 444 456 499 592 608 703 888 912 998 1184 1216 1406 1497 1776 1824 1996 2109 2368 2432 2812 2994 3552 3648 3992 4218 4736 5624 5988 7104 7296 7984 8436 9481 11248 11976 14208 15968 16872 18463 18962 22496 23952 28443 31936 33744 36926 37924 44992 47904 55389 56886 63872 67488 73852 75848 89984 95808 110778 113772 134976 147704 151696 191616 221556 227544 269952 295408 303392 350797 443112 455088 590816 606784 701594 886224 910176 1052391 1181632 1213568 1403188 1772448 1820352 2104782 2363264 2806376 3544896 3640704 4209564 5612752 7089792 8419128 11225504 16838256 22451008 33676512 44902016 67353024 134706048