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134686496 = 25741753
BaseRepresentation
bin10000000011100…
…10011100100000
3100101102210010202
420001302130200
5233434431441
621210444332
73223550000
oct1001623440
9311383122
10134686496
116a032a5a
12391336a8
1321b99969
1413c60000
15bc5719b
hex8072720

134686496 has 60 divisors (see below), whose sum is σ = 309516102. Its totient is φ = 57689856.

The previous prime is 134686493. The next prime is 134686501. The reversal of 134686496 is 694686431.

It can be written as a sum of positive squares in only one way, i.e., 133726096 + 960400 = 11564^2 + 980^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 134686496.

It is not an unprimeable number, because it can be changed into a prime (134686493) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 75956 + ... + 77708.

Almost surely, 2134686496 is an apocalyptic number.

134686496 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 134686496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154758051).

134686496 is an abundant number, since it is smaller than the sum of its proper divisors (174829606).

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

134686496 is an frugal number, since it uses more digits than its factorization.

134686496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1791 (or 1762 counting only the distinct ones).

The product of its digits is 746496, while the sum is 47.

The square root of 134686496 is about 11605.4511329806. The cubic root of 134686496 is about 512.5953767366.

The spelling of 134686496 in words is "one hundred thirty-four million, six hundred eighty-six thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 343 392 686 784 1372 1568 1753 2401 2744 3506 4802 5488 7012 9604 10976 12271 14024 19208 24542 28048 38416 49084 56096 76832 85897 98168 171794 196336 343588 392672 601279 687176 1202558 1374352 2405116 2748704 4208953 4810232 8417906 9620464 16835812 19240928 33671624 67343248 134686496