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134046976 = 2871931127
BaseRepresentation
bin1111111110101…
…10010100000000
3100100020021212211
413333112110000
5233304000401
621145031504
73215244340
oct777262400
9310207784
10134046976
1169736528
1238a85594
1321a0484b
1413b34d20
15bb7c951
hex7fd6500

134046976 has 144 divisors (see below), whose sum is σ = 334888960. Its totient is φ = 52254720.

The previous prime is 134046973. The next prime is 134047003. The reversal of 134046976 is 679640431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134046973) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1055425 + ... + 1055551.

Almost surely, 2134046976 is an apocalyptic number.

134046976 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 134046976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167444480).

134046976 is an abundant number, since it is smaller than the sum of its proper divisors (200841984).

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

134046976 is a wasteful number, since it uses less digits than its factorization.

134046976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 134046976 is about 11577.8657791495. The cubic root of 134046976 is about 511.7827854646.

The spelling of 134046976 in words is "one hundred thirty-four million, forty-six thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 19 28 31 32 38 56 62 64 76 112 124 127 128 133 152 217 224 248 254 256 266 304 434 448 496 508 532 589 608 868 889 896 992 1016 1064 1178 1216 1736 1778 1792 1984 2032 2128 2356 2413 2432 3472 3556 3937 3968 4064 4123 4256 4712 4826 4864 6944 7112 7874 7936 8128 8246 8512 9424 9652 13888 14224 15748 16256 16492 16891 17024 18848 19304 27559 27776 28448 31496 32512 32984 33782 34048 37696 38608 55118 55552 56896 62992 65968 67564 74803 75392 77216 110236 113792 125984 131936 135128 149606 150784 154432 220472 227584 251968 263872 270256 299212 308864 440944 503936 523621 527744 540512 598424 617728 881888 1007872 1047242 1055488 1081024 1196848 1763776 2094484 2162048 2393696 3527552 4188968 4324096 4787392 7055104 8377936 9574784 16755872 19149568 33511744 67023488 134046976