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138162150 = 232527231907
BaseRepresentation
bin10000011110000…
…10111111100110
3100121222100211200
420033002333212
5240332142100
621413143330
73265234050
oct1017027746
9317870750
10138162150
1170a972a5
123a32ab46
1322815969
14144c68d0
15c1e1e00
hex83c2fe6

138162150 has 144 divisors (see below), whose sum is σ = 442900224. Its totient is φ = 30191040.

The previous prime is 138162137. The next prime is 138162151. The reversal of 138162150 is 51261831.

138162150 is a `hidden beast` number, since 1 + 38 + 1 + 621 + 5 + 0 = 666.

138162150 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138162151) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 71497 + ... + 73403.

It is an arithmetic number, because the mean of its divisors is an integer number (3075696).

Almost surely, 2138162150 is an apocalyptic number.

138162150 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 138162150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221450112).

138162150 is an abundant number, since it is smaller than the sum of its proper divisors (304738074).

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

138162150 is a wasteful number, since it uses less digits than its factorization.

138162150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1955 (or 1947 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 138162150 is about 11754.2396606501. The cubic root of 138162150 is about 516.9672456106.

The spelling of 138162150 in words is "one hundred thirty-eight million, one hundred sixty-two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 23 25 30 35 42 45 46 50 63 69 70 75 90 105 115 126 138 150 161 175 207 210 225 230 315 322 345 350 414 450 483 525 575 630 690 805 966 1035 1050 1150 1449 1575 1610 1725 1907 2070 2415 2898 3150 3450 3814 4025 4830 5175 5721 7245 8050 9535 10350 11442 12075 13349 14490 17163 19070 24150 26698 28605 34326 36225 40047 43861 47675 57210 66745 72450 80094 85815 87722 95350 120141 131583 133490 143025 171630 200235 219305 240282 263166 286050 307027 333725 394749 400470 429075 438610 600705 614054 657915 667450 789498 858150 921081 1001175 1096525 1201410 1315830 1535135 1842162 1973745 2002350 2193050 2763243 3003525 3070270 3289575 3947490 4605405 5526486 6007050 6579150 7675675 9210810 9868725 13816215 15351350 19737450 23027025 27632430 46054050 69081075 138162150