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138334500 = 22335310247
BaseRepresentation
bin10000011111011…
…01000100100100
3100122022010021000
420033231010210
5240403201000
621420553300
73266552403
oct1017550444
9318263230
10138334500
11710a4837
123a3b2830
1322876245
141452d63a
15c228000
hex83ed124

138334500 has 96 divisors (see below), whose sum is σ = 447632640. Its totient is φ = 36885600.

The previous prime is 138334429. The next prime is 138334541. The reversal of 138334500 is 5433831.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8377 + ... + 18623.

It is an arithmetic number, because the mean of its divisors is an integer number (4662840).

Almost surely, 2138334500 is an apocalyptic number.

138334500 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 138334500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223816320).

138334500 is an abundant number, since it is smaller than the sum of its proper divisors (309298140).

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

138334500 is a wasteful number, since it uses less digits than its factorization.

138334500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10275 (or 10257 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 138334500 is about 11761.5687729146. The cubic root of 138334500 is about 517.1821194178.

The spelling of 138334500 in words is "one hundred thirty-eight million, three hundred thirty-four thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 125 135 150 180 225 250 270 300 375 450 500 540 675 750 900 1125 1350 1500 2250 2700 3375 4500 6750 10247 13500 20494 30741 40988 51235 61482 92223 102470 122964 153705 184446 204940 256175 276669 307410 368892 461115 512350 553338 614820 768525 922230 1024700 1106676 1280875 1383345 1537050 1844460 2305575 2561750 2766690 3074100 3842625 4611150 5123500 5533380 6916725 7685250 9222300 11527875 13833450 15370500 23055750 27666900 34583625 46111500 69167250 138334500