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134458100 = 225271711299
BaseRepresentation
bin10000000001110…
…10101011110100
3100101000011211122
420000322223310
5233410124400
621201523112
73221606060
oct1000725364
9311004748
10134458100
11699973a7
1239043498
1321b19a0a
1413c00aa0
15bc0e685
hex803aaf4

134458100 has 72 divisors (see below), whose sum is σ = 353102400. Its totient is φ = 43384320.

The previous prime is 134458099. The next prime is 134458127. The reversal of 134458100 is 1854431.

It is a super-2 number, since 2×1344581002 = 36157961311220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 134458100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6251 + ... + 17549.

It is an arithmetic number, because the mean of its divisors is an integer number (4904200).

Almost surely, 2134458100 is an apocalyptic number.

134458100 is a gapful number since it is divisible by the number (10) 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 134458100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176551200).

134458100 is an abundant number, since it is smaller than the sum of its proper divisors (218644300).

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

134458100 is a wasteful number, since it uses less digits than its factorization.

134458100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11337 (or 11330 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 134458100 is about 11595.6069267633. The cubic root of 134458100 is about 512.3054665218.

The spelling of 134458100 in words is "one hundred thirty-four million, four hundred fifty-eight thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 100 119 140 170 175 238 340 350 425 476 595 700 850 1190 1700 2380 2975 5950 11299 11900 22598 45196 56495 79093 112990 158186 192083 225980 282475 316372 384166 395465 564950 768332 790930 960415 1129900 1344581 1581860 1920830 1977325 2689162 3841660 3954650 4802075 5378324 6722905 7909300 9604150 13445810 19208300 26891620 33614525 67229050 134458100