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138459750 = 235311131291
BaseRepresentation
bin10000100000010…
…11101001100110
3100122112111001220
420100023221212
5240421203000
621423401210
73300613512
oct1020135146
9318474056
10138459750
117117a950
123a453206
13228bb260
1414563142
15c2501a0
hex840ba66

138459750 has 128 divisors (see below), whose sum is σ = 406328832. Its totient is φ = 30960000.

The previous prime is 138459749. The next prime is 138459773. The reversal of 138459750 is 57954831.

It is a super-2 number, since 2×1384597502 = 38342204740125000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106605 + ... + 107895.

It is an arithmetic number, because the mean of its divisors is an integer number (3174444).

Almost surely, 2138459750 is an apocalyptic number.

138459750 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 138459750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203164416).

138459750 is an abundant number, since it is smaller than the sum of its proper divisors (267869082).

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

138459750 is a wasteful number, since it uses less digits than its factorization.

138459750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 138459750 is about 11766.8921130433. The cubic root of 138459750 is about 517.3381603193.

The spelling of 138459750 in words is "one hundred thirty-eight million, four hundred fifty-nine thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 11 13 15 22 25 26 30 33 39 50 55 65 66 75 78 110 125 130 143 150 165 195 250 275 286 325 330 375 390 429 550 650 715 750 825 858 975 1291 1375 1430 1625 1650 1950 2145 2582 2750 3250 3575 3873 4125 4290 4875 6455 7150 7746 8250 9750 10725 12910 14201 16783 17875 19365 21450 28402 32275 33566 35750 38730 42603 50349 53625 64550 71005 83915 85206 96825 100698 107250 142010 161375 167830 184613 193650 213015 251745 322750 355025 369226 419575 426030 484125 503490 553839 710050 839150 923065 968250 1065075 1107678 1258725 1775125 1846130 2097875 2130150 2517450 2769195 3550250 4195750 4615325 5325375 5538390 6293625 9230650 10650750 12587250 13845975 23076625 27691950 46153250 69229875 138459750