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138575115 = 32572331617
BaseRepresentation
bin10000100001001…
…11110100001011
3100122202100022200
420100213310023
5240433400430
621430051243
73301604040
oct1020476413
9318670280
10138575115
1171249598
123a4a9b23
132292b913
14145931c7
15c274460
hex8427d0b

138575115 has 96 divisors (see below), whose sum is σ = 296165376. Its totient is φ = 58544640.

The previous prime is 138575093. The next prime is 138575117. The reversal of 138575115 is 511575831.

138575115 is a `hidden beast` number, since 138 + 5 + 7 + 511 + 5 = 666.

It is not a de Polignac number, because 138575115 - 210 = 138574091 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 138575115.

It is not an unprimeable number, because it can be changed into a prime (138575117) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 224287 + ... + 224903.

It is an arithmetic number, because the mean of its divisors is an integer number (3085056).

Almost surely, 2138575115 is an apocalyptic number.

138575115 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

138575115 is an abundant number, since it is smaller than the sum of its proper divisors (157590261).

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

138575115 is a wasteful number, since it uses less digits than its factorization.

138575115 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 686 counting only the distinct ones).

The product of its digits is 21000, while the sum is 36.

The square root of 138575115 is about 11771.7931939021. The cubic root of 138575115 is about 517.4818029028.

The spelling of 138575115 in words is "one hundred thirty-eight million, five hundred seventy-five thousand, one hundred fifteen".

Divisors: 1 3 5 7 9 15 21 23 31 35 45 63 69 93 105 115 155 161 207 217 279 315 345 465 483 617 651 713 805 1035 1085 1395 1449 1851 1953 2139 2415 3085 3255 3565 4319 4991 5553 6417 7245 9255 9765 10695 12957 14191 14973 19127 21595 24955 27765 32085 38871 42573 44919 57381 64785 70955 74865 95635 99337 127719 133889 172143 194355 212865 224595 286905 298011 401667 439921 496685 638595 669445 860715 894033 1205001 1319763 1490055 2008335 2199605 3079447 3959289 4470165 6025005 6598815 9238341 15397235 19796445 27715023 46191705 138575115