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137856768 = 283725643
BaseRepresentation
bin10000011011110…
…00011100000000
3100121101211221020
420031320130000
5240242404033
621402425440
73262522530
oct1015703400
9317354836
10137856768
11708a8915
123a202280
132273996a
14144474c0
15c1816b3
hex8378700

137856768 has 72 divisors (see below), whose sum is σ = 419330688. Its totient is φ = 39386112.

The previous prime is 137856739. The next prime is 137856773. The reversal of 137856768 is 867658731.

It is a self number, because there is not a number n which added to its sum of digits gives 137856768.

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, 7446 + ... + 18197.

Almost surely, 2137856768 is an apocalyptic number.

It is an amenable number.

137856768 is an abundant number, since it is smaller than the sum of its proper divisors (281473920).

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

137856768 is an equidigital number, since it uses as much as digits as its factorization.

137856768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25669 (or 25655 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 51.

The square root of 137856768 is about 11741.2421830060. The cubic root of 137856768 is about 516.5860776606.

The spelling of 137856768 in words is "one hundred thirty-seven million, eight hundred fifty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 25643 51286 76929 102572 153858 179501 205144 307716 359002 410288 538503 615432 718004 820576 1077006 1230864 1436008 1641152 2154012 2461728 2872016 3282304 4308024 4923456 5744032 6564608 8616048 9846912 11488064 17232096 19693824 22976128 34464192 45952256 68928384 137856768