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134974976 = 29477179
BaseRepresentation
bin10000000101110…
…00111000000000
3100101222102212012
420002320320000
5234023144401
621220552052
73226161023
oct1002707000
9311872765
10134974976
116a20a774
1239252628
1321c6b066
1413cd71ba
15bcb28bb
hex80b8e00

134974976 has 80 divisors (see below), whose sum is σ = 282839040. Its totient is φ = 64296960.

The previous prime is 134974943. The next prime is 134974981. The reversal of 134974976 is 679479431.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1708505 + ... + 1708583.

It is an arithmetic number, because the mean of its divisors is an integer number (3535488).

Almost surely, 2134974976 is an apocalyptic number.

134974976 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 134974976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141419520).

134974976 is an abundant number, since it is smaller than the sum of its proper divisors (147864064).

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

134974976 is an frugal number, since it uses more digits than its factorization.

134974976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 199 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 50.

The square root of 134974976 is about 11617.8731272122. The cubic root of 134974976 is about 512.9610854235.

The spelling of 134974976 in words is "one hundred thirty-four million, nine hundred seventy-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 47 64 71 79 94 128 142 158 188 256 284 316 376 512 568 632 752 1136 1264 1504 2272 2528 3008 3337 3713 4544 5056 5609 6016 6674 7426 9088 10112 11218 12032 13348 14852 18176 20224 22436 24064 26696 29704 36352 40448 44872 53392 59408 89744 106784 118816 179488 213568 237632 263623 358976 427136 475264 527246 717952 854272 950528 1054492 1435904 1708544 1901056 2108984 2871808 4217968 8435936 16871872 33743744 67487488 134974976