Search a number
-
+
137155895460 = 22345194456007
BaseRepresentation
bin111111110111100100…
…0001110000010100100
3111010000122000101210000
41333233020032002210
54221343402123320
6143001502501300
712623564606223
oct1775710160244
9433018011700
10137155895460
1153192a22321
12226b9294830
13cc1a591bbc
1468d1a06cba
15387b1c3c90
hex1fef20e0a4

137155895460 has 120 divisors (see below), whose sum is σ = 452908653120. Its totient is φ = 34649902656.

The previous prime is 137155895447. The next prime is 137155895497. The reversal of 137155895460 is 64598551731.

137155895460 is a `hidden beast` number, since 1 + 3 + 7 + 1 + 5 + 589 + 54 + 6 + 0 = 666.

It is a super-2 number, since 2×1371558954602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 137155895397 and 137155895406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2197224 + ... + 2258783.

It is an arithmetic number, because the mean of its divisors is an integer number (3774238776).

Almost surely, 2137155895460 is an apocalyptic number.

137155895460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137155895460 is an abundant number, since it is smaller than the sum of its proper divisors (315752757660).

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

137155895460 is a wasteful number, since it uses less digits than its factorization.

137155895460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4456047 (or 4456036 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 137155895460 in words is "one hundred thirty-seven billion, one hundred fifty-five million, eight hundred ninety-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 81 90 95 108 114 135 162 171 180 190 228 270 285 324 342 380 405 513 540 570 684 810 855 1026 1140 1539 1620 1710 2052 2565 3078 3420 5130 6156 7695 10260 15390 30780 4456007 8912014 13368021 17824028 22280035 26736042 40104063 44560070 53472084 66840105 80208126 84664133 89120140 120312189 133680210 160416252 169328266 200520315 240624378 253992399 267360420 338656532 360936567 401040630 423320665 481248756 507984798 601560945 721873134 761977197 802081260 846641330 1015969596 1203121890 1269961995 1443746268 1523954394 1693282660 1804682835 2285931591 2406243780 2539923990 3047908788 3609365670 3809885985 4571863182 5079847980 6857794773 7218731340 7619771970 9143726364 11429657955 13715589546 15239543940 22859315910 27431179092 34288973865 45718631820 68577947730 137155895460