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138109455 = 34511291069
BaseRepresentation
bin10000011101101…
…10001000001111
3100121212200120000
420032312020033
5240324000310
621412055343
73264624321
oct1016661017
9317780500
10138109455
1170a60750
123a304553
13227c7993
14144b1611
15c1d14c0
hex83b620f

138109455 has 80 divisors (see below), whose sum is σ = 279655200. Its totient is φ = 64592640.

The previous prime is 138109409. The next prime is 138109463. The reversal of 138109455 is 554901831.

It is not a de Polignac number, because 138109455 - 211 = 138107407 is a prime.

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 79 ways as a sum of consecutive naturals, for example, 128661 + ... + 129729.

It is an arithmetic number, because the mean of its divisors is an integer number (3495690).

Almost surely, 2138109455 is an apocalyptic number.

138109455 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

138109455 is an abundant number, since it is smaller than the sum of its proper divisors (141545745).

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

138109455 is a wasteful number, since it uses less digits than its factorization.

138109455 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 138109455 is about 11751.9979152483. The cubic root of 138109455 is about 516.9015135389.

The spelling of 138109455 in words is "one hundred thirty-eight million, one hundred nine thousand, four hundred fifty-five".

Divisors: 1 3 5 9 11 15 27 29 33 45 55 81 87 99 135 145 165 261 297 319 405 435 495 783 891 957 1069 1305 1485 1595 2349 2871 3207 3915 4455 4785 5345 8613 9621 11745 11759 14355 16035 25839 28863 31001 35277 43065 48105 58795 86589 93003 105831 129195 144315 155005 176385 279009 317493 341011 432945 465015 529155 837027 952479 1023033 1395045 1587465 1705055 2511081 3069099 4185135 4762395 5115165 9207297 12555405 15345495 27621891 46036485 138109455