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134939616 = 25371571279
BaseRepresentation
bin10000000101100…
…00001111100000
3100101220122100120
420002300033200
5234021031431
621220120240
73225652650
oct1002601740
9311818316
10134939616
116a196149
1239236080
1321c57c36
1413cc8360
15bca7196
hex80b03e0

134939616 has 96 divisors (see below), whose sum is σ = 407715840. Its totient is φ = 38278656.

The previous prime is 134939611. The next prime is 134939641. The reversal of 134939616 is 616939431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134939611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104865 + ... + 106143.

It is an arithmetic number, because the mean of its divisors is an integer number (4247040).

Almost surely, 2134939616 is an apocalyptic number.

134939616 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 134939616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203857920).

134939616 is an abundant number, since it is smaller than the sum of its proper divisors (272776224).

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

134939616 is a wasteful number, since it uses less digits than its factorization.

134939616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456 (or 1448 counting only the distinct ones).

The product of its digits is 104976, while the sum is 42.

The square root of 134939616 is about 11616.3512343593. The cubic root of 134939616 is about 512.9162872724.

The spelling of 134939616 in words is "one hundred thirty-four million, nine hundred thirty-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 157 168 224 314 336 471 628 672 942 1099 1256 1279 1884 2198 2512 2558 3297 3768 3837 4396 5024 5116 6594 7536 7674 8792 8953 10232 13188 15072 15348 17584 17906 20464 26376 26859 30696 35168 35812 40928 52752 53718 61392 71624 105504 107436 122784 143248 200803 214872 286496 401606 429744 602409 803212 859488 1204818 1405621 1606424 2409636 2811242 3212848 4216863 4819272 5622484 6425696 8433726 9638544 11244968 16867452 19277088 22489936 33734904 44979872 67469808 134939616