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134978976 = 253211137311
BaseRepresentation
bin10000000101110…
…01110110100000
3100101222122100100
420002321312200
5234023311401
621221022400
73226205466
oct1002716640
9311878310
10134978976
116a212780
1239254a00
1321c6cb22
1413cd8836
15bcb3b86
hex80b9da0

134978976 has 144 divisors (see below), whose sum is σ = 423154368. Its totient is φ = 40473600.

The previous prime is 134978957. The next prime is 134978981. The reversal of 134978976 is 679879431.

It is a happy number.

134978976 is a `hidden beast` number, since 1 + 3 + 497 + 89 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 433861 + ... + 434171.

It is an arithmetic number, because the mean of its divisors is an integer number (2938572).

Almost surely, 2134978976 is an apocalyptic number.

134978976 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 134978976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211577184).

134978976 is an abundant number, since it is smaller than the sum of its proper divisors (288175392).

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

134978976 is a wasteful number, since it uses less digits than its factorization.

134978976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 464 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 134978976 is about 11618.0452744857. The cubic root of 134978976 is about 512.9661525951.

The spelling of 134978976 in words is "one hundred thirty-four million, nine hundred seventy-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 137 144 176 198 264 274 288 311 352 396 411 528 548 622 792 822 933 1056 1096 1233 1244 1507 1584 1644 1866 2192 2466 2488 2799 3014 3168 3288 3421 3732 4384 4521 4932 4976 5598 6028 6576 6842 7464 9042 9864 9952 10263 11196 12056 13152 13563 13684 14928 18084 19728 20526 22392 24112 27126 27368 29856 30789 36168 39456 41052 42607 44784 48224 54252 54736 61578 72336 82104 85214 89568 108504 109472 123156 127821 144672 164208 170428 217008 246312 255642 328416 340856 383463 434016 468677 492624 511284 681712 766926 937354 985248 1022568 1363424 1406031 1533852 1874708 2045136 2812062 3067704 3749416 4090272 4218093 5624124 6135408 7498832 8436186 11248248 12270816 14997664 16872372 22496496 33744744 44992992 67489488 134978976