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138749159700 = 223252154165733
BaseRepresentation
bin1000000100111000011…
…0000010100100010100
3111021010200000121102200
42001032012002210110
54233124241102300
6143423540004500
713011222253404
oct2011606024424
9437120017380
10138749159700
1153930313328
1222a82990730
13101126a9ac8
146a03466804
153920ee2200
hex204e182914

138749159700 has 54 divisors (see below), whose sum is σ = 434901535614. Its totient is φ = 36999775680.

The previous prime is 138749159699. The next prime is 138749159713. The reversal of 138749159700 is 7951947831.

It is a happy number.

138749159700 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 49 + 1 + 597 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 56972304 + 138692187396 = 7548^2 + 372414^2 .

It is a super-2 number, since 2×1387491597002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 77081967 + ... + 77083766.

It is an arithmetic number, because the mean of its divisors is an integer number (8053732141).

Almost surely, 2138749159700 is an apocalyptic number.

138749159700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138749159700 is an abundant number, since it is smaller than the sum of its proper divisors (296152375914).

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

138749159700 is a wasteful number, since it uses less digits than its factorization.

138749159700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154165753 (or 154165743 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 138749159700 in words is "one hundred thirty-eight billion, seven hundred forty-nine million, one hundred fifty-nine thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 154165733 308331466 462497199 616662932 770828665 924994398 1387491597 1541657330 1849988796 2312485995 2774983194 3083314660 3854143325 4624971990 5549966388 6937457985 7708286650 9249943980 11562429975 13874915970 15416573300 23124859950 27749831940 34687289925 46249719900 69374579850 138749159700