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138448575 = 3352443463
BaseRepresentation
bin10000100000010…
…00111010111111
3100122111220202000
420100020322333
5240420323300
621423233343
73300536106
oct1020107277
9318456660
10138448575
1171172511
123a448853
13228b6145
141455d03d
15c24bc00
hex8408ebf

138448575 has 48 divisors (see below), whose sum is σ = 255459840. Its totient is φ = 73513440.

The previous prime is 138448571. The next prime is 138448577. The reversal of 138448575 is 575844831.

138448575 is a `hidden beast` number, since 1 + 38 + 4 + 48 + 575 = 666.

It is not a de Polignac number, because 138448575 - 22 = 138448571 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 138448575.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138448571) 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 47 ways as a sum of consecutive naturals, for example, 298794 + ... + 299256.

It is an arithmetic number, because the mean of its divisors is an integer number (5322080).

Almost surely, 2138448575 is an apocalyptic number.

138448575 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

138448575 is a deficient number, since it is larger than the sum of its proper divisors (117011265).

138448575 is a wasteful number, since it uses less digits than its factorization.

138448575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 914 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 138448575 is about 11766.4172542027. The cubic root of 138448575 is about 517.3242419315.

The spelling of 138448575 in words is "one hundred thirty-eight million, four hundred forty-eight thousand, five hundred seventy-five".

Divisors: 1 3 5 9 15 25 27 45 75 135 225 443 463 675 1329 1389 2215 2315 3987 4167 6645 6945 11075 11575 11961 12501 19935 20835 33225 34725 59805 62505 99675 104175 205109 299025 312525 615327 1025545 1845981 3076635 5127725 5537943 9229905 15383175 27689715 46149525 138448575