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138819636 = 223329127349
BaseRepresentation
bin10000100011000…
…11100000110100
3100200012202202000
420101203200310
5241014212021
621435215300
73303642654
oct1021434064
9320182660
10138819636
11713a627a
123a5a7530
13229b5cc7
1414618364
15c2c1b26
hex8463834

138819636 has 96 divisors (see below), whose sum is σ = 376320000. Its totient is φ = 44198784.

The previous prime is 138819631. The next prime is 138819641. The reversal of 138819636 is 636918831.

It is a happy number.

138819636 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 1 + 9 + 636 = 666.

It is an interprime number because it is at equal distance from previous prime (138819631) and next prime (138819641).

It is a junction number, because it is equal to n+sod(n) for n = 138819591 and 138819600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138819631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397590 + ... + 397938.

It is an arithmetic number, because the mean of its divisors is an integer number (3920000).

Almost surely, 2138819636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138819636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188160000).

138819636 is an abundant number, since it is smaller than the sum of its proper divisors (237500364).

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

138819636 is a wasteful number, since it uses less digits than its factorization.

138819636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 510 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 138819636 is about 11782.1745021876. The cubic root of 138819636 is about 517.7859960846.

The spelling of 138819636 in words is "one hundred thirty-eight million, eight hundred nineteen thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 127 174 254 261 348 349 381 508 522 698 762 783 1044 1047 1143 1396 1524 1566 2094 2286 3132 3141 3429 3683 4188 4572 6282 6858 7366 9423 10121 11049 12564 13716 14732 18846 20242 22098 30363 33147 37692 40484 44196 44323 60726 66294 88646 91089 99441 121452 132588 132969 177292 182178 198882 265938 273267 364356 397764 398907 531876 546534 797814 1093068 1196721 1285367 1595628 2393442 2570734 3856101 4786884 5141468 7712202 11568303 15424404 23136606 34704909 46273212 69409818 138819636