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138537732340 = 22572197717589
BaseRepresentation
bin1000000100000101111…
…1100000100011110100
3111020120221011222121201
42001001133200203310
54232211124413330
6143350544222244
713003044203200
oct2010137404364
9436527158551
10138537732340
1153831a35877
1222a2400a984
13100aa951367
1469c334bb00
15390c67beca
hex20417e08f4

138537732340 has 72 divisors (see below), whose sum is σ = 340146271080. Its totient is φ = 47257475328.

The previous prime is 138537732313. The next prime is 138537732353. The reversal of 138537732340 is 43237735831.

It can be written as a sum of positive squares in 4 ways, for example, as 46803860964 + 91733871376 = 216342^2 + 302876^2 .

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, 165735 + ... + 551854.

It is an arithmetic number, because the mean of its divisors is an integer number (4724253765).

Almost surely, 2138537732340 is an apocalyptic number.

138537732340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138537732340 is an abundant number, since it is smaller than the sum of its proper divisors (201608538740).

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

138537732340 is a wasteful number, since it uses less digits than its factorization.

138537732340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717809 (or 717800 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 46.

The spelling of 138537732340 in words is "one hundred thirty-eight billion, five hundred thirty-seven million, seven hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 197 245 394 490 788 980 985 1379 1970 2758 3940 5516 6895 9653 13790 19306 27580 38612 48265 96530 193060 717589 1435178 2870356 3587945 5023123 7175890 10046246 14351780 20092492 25115615 35161861 50231230 70323722 100462460 140647444 141365033 175809305 282730066 351618610 565460132 703237220 706825165 989555231 1413650330 1979110462 2827300660 3958220924 4947776155 6926886617 9895552310 13853773234 19791104620 27707546468 34634433085 69268866170 138537732340