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138236625 = 36533741
BaseRepresentation
bin10000011110101…
…01001011010001
3100122010011000000
420033111023101
5240342033000
621414520213
73265664142
oct1017251321
9318104000
10138236625
117103824a
123a366069
1322840827
1414505ac9
15c209000
hex83d52d1

138236625 has 112 divisors (see below), whose sum is σ = 272130768. Its totient is φ = 69984000.

The previous prime is 138236599. The next prime is 138236627. The reversal of 138236625 is 526632831.

It is a happy number.

138236625 is a `hidden beast` number, since 1 + 3 + 8 + 23 + 6 + 625 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 51969681 + 86266944 = 7209^2 + 9288^2 .

It is not a de Polignac number, because 138236625 - 28 = 138236369 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 138236625.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138236627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3371605 + ... + 3371645.

It is an arithmetic number, because the mean of its divisors is an integer number (2429739).

Almost surely, 2138236625 is an apocalyptic number.

138236625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138236625 is a deficient number, since it is larger than the sum of its proper divisors (133894143).

138236625 is an frugal number, since it uses more digits than its factorization.

138236625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 86 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 138236625 is about 11757.4072396936. The cubic root of 138236625 is about 517.0601176932.

The spelling of 138236625 in words is "one hundred thirty-eight million, two hundred thirty-six thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 37 41 45 75 81 111 123 125 135 185 205 225 243 333 369 375 405 555 615 675 729 925 999 1025 1107 1125 1215 1517 1665 1845 2025 2775 2997 3075 3321 3375 3645 4551 4625 4995 5125 5535 6075 7585 8325 8991 9225 9963 10125 13653 13875 14985 15375 16605 18225 22755 24975 26973 27675 29889 30375 37925 40959 41625 44955 46125 49815 68265 74925 83025 91125 113775 122877 124875 134865 138375 149445 189625 204795 224775 249075 341325 368631 374625 415125 568875 614385 674325 747225 1023975 1105893 1123875 1245375 1706625 1843155 3071925 3371625 3736125 5119875 5529465 9215775 15359625 27647325 46078875 138236625