Search a number
-
+
137854860 = 2235111316067
BaseRepresentation
bin10000011011101…
…11111110001100
3100121101202022120
420031313332030
5240242323420
621402412540
73262514133
oct1015677614
9317352276
10137854860
11708a7440
123a201150
1322738b30
141444691a
15c180d40
hex8377f8c

137854860 has 96 divisors (see below), whose sum is σ = 453503232. Its totient is φ = 30846720.

The previous prime is 137854813. The next prime is 137854889. The reversal of 137854860 is 68458731.

137854860 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 547 + ... + 16613.

It is an arithmetic number, because the mean of its divisors is an integer number (4723992).

Almost surely, 2137854860 is an apocalyptic number.

137854860 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 137854860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226751616).

137854860 is an abundant number, since it is smaller than the sum of its proper divisors (315648372).

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

137854860 is a wasteful number, since it uses less digits than its factorization.

137854860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16103 (or 16101 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 137854860 is about 11741.1609306746. The cubic root of 137854860 is about 516.5836943879.

The spelling of 137854860 in words is "one hundred thirty-seven million, eight hundred fifty-four thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 195 220 260 286 330 390 429 572 660 715 780 858 1430 1716 2145 2860 4290 8580 16067 32134 48201 64268 80335 96402 160670 176737 192804 208871 241005 321340 353474 417742 482010 530211 626613 706948 835484 883685 964020 1044355 1060422 1253226 1767370 2088710 2120844 2297581 2506452 2651055 3133065 3534740 4177420 4595162 5302110 6266130 6892743 9190324 10604220 11487905 12532260 13785486 22975810 27570972 34463715 45951620 68927430 137854860