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138651318 = 23313215193
BaseRepresentation
bin10000100001110…
…10011010110110
3100122220012212000
420100322122312
5240443320233
621431440130
73302342151
oct1020723266
9318805760
10138651318
11712a0873
123a526046
1322957500
14145b2c98
15c28bd13
hex843a6b6

138651318 has 48 divisors (see below), whose sum is σ = 333660240. Its totient is φ = 42659136.

The previous prime is 138651283. The next prime is 138651347. The reversal of 138651318 is 813156831.

138651318 is a `hidden beast` number, since 138 + 6 + 513 + 1 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1530 + ... + 16722.

It is an arithmetic number, because the mean of its divisors is an integer number (6951255).

Almost surely, 2138651318 is an apocalyptic number.

138651318 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138651318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166830120).

138651318 is an abundant number, since it is smaller than the sum of its proper divisors (195008922).

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

138651318 is a wasteful number, since it uses less digits than its factorization.

138651318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15230 (or 15211 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 138651318 is about 11775.0294267148. The cubic root of 138651318 is about 517.5766406130.

The spelling of 138651318 in words is "one hundred thirty-eight million, six hundred fifty-one thousand, three hundred eighteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 169 234 338 351 507 702 1014 1521 3042 4563 9126 15193 30386 45579 91158 136737 197509 273474 395018 410211 592527 820422 1185054 1777581 2567617 3555162 5135234 5332743 7702851 10665486 15405702 23108553 46217106 69325659 138651318