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138271575 = 35213210909
BaseRepresentation
bin10000011110111…
…01101101010111
3100122011220221110
420033131231113
5240344142300
621415350103
73266201061
oct1017355527
9318156843
10138271575
1171061532
123a382333
1322853700
1414514731
15c214550
hex83ddb57

138271575 has 36 divisors (see below), whose sum is σ = 247569720. Its totient is φ = 68065920.

The previous prime is 138271571. The next prime is 138271579. The reversal of 138271575 is 575172831.

It is an interprime number because it is at equal distance from previous prime (138271571) and next prime (138271579).

It is not a de Polignac number, because 138271575 - 22 = 138271571 is a prime.

It is a super-3 number, since 3×1382715753 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138271571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7221 + ... + 18129.

Almost surely, 2138271575 is an apocalyptic number.

138271575 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

138271575 is a deficient number, since it is larger than the sum of its proper divisors (109298145).

138271575 is a wasteful number, since it uses less digits than its factorization.

138271575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10948 (or 10930 counting only the distinct ones).

The product of its digits is 58800, while the sum is 39.

The square root of 138271575 is about 11758.8934428372. The cubic root of 138271575 is about 517.1036896683.

The spelling of 138271575 in words is "one hundred thirty-eight million, two hundred seventy-one thousand, five hundred seventy-five".

Divisors: 1 3 5 13 15 25 39 65 75 169 195 325 507 845 975 2535 4225 10909 12675 32727 54545 141817 163635 272725 425451 709085 818175 1843621 2127255 3545425 5530863 9218105 10636275 27654315 46090525 138271575