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134815744 = 21372351
BaseRepresentation
bin10000000100100…
…10000000000000
3100101200100102201
420002102000000
5234003100434
621213322544
73224625550
oct1002220000
9311610381
10134815744
116a111078
1239196454
1321c1373b
1413c95160
15bc80614
hex8092000

134815744 has 56 divisors (see below), whose sum is σ = 308262528. Its totient is φ = 57753600.

The previous prime is 134815727. The next prime is 134815757. The reversal of 134815744 is 447518431.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 56169 + ... + 58519.

It is an arithmetic number, because the mean of its divisors is an integer number (5504688).

Almost surely, 2134815744 is an apocalyptic number.

134815744 is a gapful number since it is divisible by the number (14) 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 134815744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154131264).

134815744 is an abundant number, since it is smaller than the sum of its proper divisors (173446784).

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

134815744 is an frugal number, since it uses more digits than its factorization.

134815744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2384 (or 2360 counting only the distinct ones).

The product of its digits is 53760, while the sum is 37.

The square root of 134815744 is about 11611.0182154710. The cubic root of 134815744 is about 512.7592900916.

The spelling of 134815744 in words is "one hundred thirty-four million, eight hundred fifteen thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 2048 2351 3584 4096 4702 7168 8192 9404 14336 16457 18808 28672 32914 37616 57344 65828 75232 131656 150464 263312 300928 526624 601856 1053248 1203712 2106496 2407424 4212992 4814848 8425984 9629696 16851968 19259392 33703936 67407872 134815744