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134002656 = 2532538779
BaseRepresentation
bin1111111110010…
…11011111100000
3100100011001002100
413333023133200
5233301041111
621144050400
73215001204
oct777133740
9310131070
10134002656
11697061a7
1238a63a00
13219ba618
1413b22b04
15bb6e756
hex7fcb7e0

134002656 has 72 divisors (see below), whose sum is σ = 388304280. Its totient is φ = 43819776.

The previous prime is 134002639. The next prime is 134002657. The reversal of 134002656 is 656200431.

134002656 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 0 + 2 + 656 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134002657) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10875 + ... + 19653.

It is an arithmetic number, because the mean of its divisors is an integer number (5393115).

Almost surely, 2134002656 is an apocalyptic number.

134002656 is a gapful number since it is divisible by the number (16) 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 134002656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194152140).

134002656 is an abundant number, since it is smaller than the sum of its proper divisors (254301624).

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

134002656 is a wasteful number, since it uses less digits than its factorization.

134002656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8848 (or 8837 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 134002656 is about 11575.9516239487. The cubic root of 134002656 is about 511.7263756049.

The spelling of 134002656 in words is "one hundred thirty-four million, two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 288 318 424 477 636 848 954 1272 1696 1908 2544 3816 5088 7632 8779 15264 17558 26337 35116 52674 70232 79011 105348 140464 158022 210696 280928 316044 421392 465287 632088 842784 930574 1264176 1395861 1861148 2528352 2791722 3722296 4187583 5583444 7444592 8375166 11166888 14889184 16750332 22333776 33500664 44667552 67001328 134002656