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138900150 = 23352313319
BaseRepresentation
bin10000100011101…
…11001010110110
3100200100212012000
420101313022312
5241024301100
621441040130
73304426464
oct1021671266
9320325160
10138900150
1171450814
123a626046
1322a1384c
1414639834
15c2da900
hex84772b6

138900150 has 96 divisors (see below), whose sum is σ = 395212800. Its totient is φ = 35834400.

The previous prime is 138900133. The next prime is 138900161. The reversal of 138900150 is 51009831.

138900150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40191 + ... + 43509.

It is an arithmetic number, because the mean of its divisors is an integer number (4116800).

Almost surely, 2138900150 is an apocalyptic number.

138900150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138900150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197606400).

138900150 is an abundant number, since it is smaller than the sum of its proper divisors (256312650).

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

138900150 is a wasteful number, since it uses less digits than its factorization.

138900150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3371 (or 3360 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 138900150 is about 11785.5907785736. The cubic root of 138900150 is about 517.8860803036.

Adding to 138900150 its reverse (51009831), we get a palindrome (189909981).

The spelling of 138900150 in words is "one hundred thirty-eight million, nine hundred thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 31 45 50 54 62 75 90 93 135 150 155 186 225 270 279 310 450 465 558 675 775 837 930 1350 1395 1550 1674 2325 2790 3319 4185 4650 6638 6975 8370 9957 13950 16595 19914 20925 29871 33190 41850 49785 59742 82975 89613 99570 102889 149355 165950 179226 205778 248925 298710 308667 448065 497850 514445 617334 746775 896130 926001 1028890 1493550 1543335 1852002 2240325 2572225 2778003 3086670 4480650 4630005 5144450 5556006 7716675 9260010 13890015 15433350 23150025 27780030 46300050 69450075 138900150