Search a number
-
+
134109136 = 2472379659
BaseRepresentation
bin1111111111001…
…01011111010000
3100100100110011001
413333211133100
5233312443021
621150231344
73215623510
oct777453720
9310313131
10134109136
11697791a7
1238ab5554
1321a26c25
1413b4d840
15bb91091
hex7fe57d0

134109136 has 80 divisors (see below), whose sum is σ = 314265600. Its totient is φ = 54198144.

The previous prime is 134109121. The next prime is 134109149. The reversal of 134109136 is 631901431.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203175 + ... + 203833.

It is an arithmetic number, because the mean of its divisors is an integer number (3928320).

Almost surely, 2134109136 is an apocalyptic number.

134109136 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 134109136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157132800).

134109136 is an abundant number, since it is smaller than the sum of its proper divisors (180156464).

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

134109136 is a wasteful number, since it uses less digits than its factorization.

134109136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 134109136 is about 11580.5499005876. The cubic root of 134109136 is about 511.8618808753.

The spelling of 134109136 in words is "one hundred thirty-four million, one hundred nine thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 79 92 112 158 161 184 316 322 368 553 632 644 659 1106 1264 1288 1318 1817 2212 2576 2636 3634 4424 4613 5272 7268 8848 9226 10544 12719 14536 15157 18452 25438 29072 30314 36904 50876 52061 60628 73808 101752 104122 106099 121256 203504 208244 212198 242512 364427 416488 424396 728854 832976 848792 1197403 1457708 1697584 2394806 2915416 4789612 5830832 8381821 9579224 16763642 19158448 33527284 67054568 134109136