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139137120 = 25325234201
BaseRepresentation
bin10000100101100…
…01000001100000
3100200210220020200
420102301001200
5241104341440
621450105200
73306434403
oct1022610140
9320726220
10139137120
11715a2861
123a71b200
1322a97675
141469bd3a
15c335c30
hex84b1060

139137120 has 144 divisors (see below), whose sum is σ = 495567072. Its totient is φ = 35481600.

The previous prime is 139137113. The next prime is 139137127. The reversal of 139137120 is 21731931.

It is an interprime number because it is at equal distance from previous prime (139137113) and next prime (139137127).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139137127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31020 + ... + 35220.

It is an arithmetic number, because the mean of its divisors is an integer number (3441438).

Almost surely, 2139137120 is an apocalyptic number.

139137120 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 139137120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247783536).

139137120 is an abundant number, since it is smaller than the sum of its proper divisors (356429952).

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

139137120 is a wasteful number, since it uses less digits than its factorization.

139137120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4245 (or 4234 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 139137120 is about 11795.6398724274. The cubic root of 139137120 is about 518.1804254139.

The spelling of 139137120 in words is "one hundred thirty-nine million, one hundred thirty-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 32 36 40 45 46 48 60 69 72 80 90 92 96 115 120 138 144 160 180 184 207 230 240 276 288 345 360 368 414 460 480 552 690 720 736 828 920 1035 1104 1380 1440 1656 1840 2070 2208 2760 3312 3680 4140 4201 5520 6624 8280 8402 11040 12603 16560 16804 21005 25206 33120 33608 37809 42010 50412 63015 67216 75618 84020 96623 100824 126030 134432 151236 168040 189045 193246 201648 252060 289869 302472 336080 378090 386492 403296 483115 504120 579738 604944 672160 756180 772984 869607 966230 1008240 1159476 1209888 1449345 1512360 1545968 1739214 1932460 2016480 2318952 2898690 3024720 3091936 3478428 3864920 4348035 4637904 5797380 6049440 6956856 7729840 8696070 9275808 11594760 13913712 15459680 17392140 23189520 27827424 34784280 46379040 69568560 139137120