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138900000 = 25355463
BaseRepresentation
bin10000100011101…
…11001000100000
3100200100211222110
420101313020200
5241024300000
621441035320
73304426161
oct1021671040
9320324873
10138900000
1171450698
123a625b40
1322a13765
1414639768
15c2da850
hex8477220

138900000 has 144 divisors (see below), whose sum is σ = 456720768. Its totient is φ = 36960000.

The previous prime is 138899963. The next prime is 138900007. The reversal of 138900000 is 9831.

It is a self number, because there is not a number n which added to its sum of digits gives 138900000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138900007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299769 + ... + 300231.

It is an arithmetic number, because the mean of its divisors is an integer number (3171672).

Almost surely, 2138900000 is an apocalyptic number.

138900000 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 138900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228360384).

138900000 is an abundant number, since it is smaller than the sum of its proper divisors (317820768).

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

138900000 is an frugal number, since it uses more digits than its factorization.

138900000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 138900000 is about 11785.5844148689. The cubic root of 138900000 is about 517.8858938796.

Adding to 138900000 its reverse (9831), we get a palindrome (138909831).

The spelling of 138900000 in words is "one hundred thirty-eight million, nine hundred thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 463 480 500 600 625 750 800 926 1000 1200 1250 1389 1500 1852 1875 2000 2315 2400 2500 2778 3000 3125 3704 3750 4000 4630 5000 5556 6000 6250 6945 7408 7500 9260 9375 10000 11112 11575 12000 12500 13890 14816 15000 18520 18750 20000 22224 23150 25000 27780 30000 34725 37040 37500 44448 46300 50000 55560 57875 60000 69450 74080 75000 92600 100000 111120 115750 138900 150000 173625 185200 222240 231500 277800 289375 300000 347250 370400 463000 555600 578750 694500 868125 926000 1111200 1157500 1389000 1446875 1736250 1852000 2315000 2778000 2893750 3472500 4340625 4630000 5556000 5787500 6945000 8681250 9260000 11575000 13890000 17362500 23150000 27780000 34725000 46300000 69450000 138900000