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138975300 = 223252154417
BaseRepresentation
bin10000100100010…
…01100001000100
3100200111200021100
420102021201010
5241034202200
621442420100
73305161542
oct1022114104
9320450240
10138975300
11714a2222
123a661630
1322a3bb09
1414658d92
15c302d00
hex8489844

138975300 has 54 divisors (see below), whose sum is σ = 435613178. Its totient is φ = 37059840.

The previous prime is 138975271. The next prime is 138975313. The reversal of 138975300 is 3579831.

138975300 is a `hidden beast` number, since 1 + 38 + 97 + 530 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 254016 + 138721284 = 504^2 + 11778^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 76309 + ... + 78108.

Almost surely, 2138975300 is an apocalyptic number.

138975300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138975300 is an abundant number, since it is smaller than the sum of its proper divisors (296637878).

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

138975300 is a wasteful number, since it uses less digits than its factorization.

138975300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154437 (or 154427 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 138975300 is about 11788.7785626841. The cubic root of 138975300 is about 517.9794618254.

The spelling of 138975300 in words is "one hundred thirty-eight million, nine hundred seventy-five thousand, three 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 154417 308834 463251 617668 772085 926502 1389753 1544170 1853004 2316255 2779506 3088340 3860425 4632510 5559012 6948765 7720850 9265020 11581275 13897530 15441700 23162550 27795060 34743825 46325100 69487650 138975300