Search a number
-
+
138125625 = 3541137181
BaseRepresentation
bin10000011101110…
…10000100111001
3100121220111201220
420032322010321
5240330010000
621412302253
73265022421
oct1016720471
9317814656
10138125625
1170a71910
123a311989
1322802151
14144b7481
15c1d61a0
hex83ba139

138125625 has 80 divisors (see below), whose sum is σ = 259267008. Its totient is φ = 64800000.

The previous prime is 138125623. The next prime is 138125639. The reversal of 138125625 is 526521831.

It is not a de Polignac number, because 138125625 - 21 = 138125623 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (138125623) 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 79 ways as a sum of consecutive naturals, for example, 763035 + ... + 763215.

Almost surely, 2138125625 is an apocalyptic number.

138125625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138125625 is a deficient number, since it is larger than the sum of its proper divisors (121141383).

138125625 is a wasteful number, since it uses less digits than its factorization.

138125625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 237 counting only the distinct ones).

The product of its digits is 14400, while the sum is 33.

The square root of 138125625 is about 11752.6858632399. The cubic root of 138125625 is about 516.9216858756.

The spelling of 138125625 in words is "one hundred thirty-eight million, one hundred twenty-five thousand, six hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 37 55 75 111 125 165 181 185 275 375 407 543 555 625 825 905 925 1221 1375 1875 1991 2035 2715 2775 4125 4525 4625 5973 6105 6697 6875 9955 10175 13575 13875 20091 20625 22625 23125 29865 30525 33485 49775 50875 67875 69375 73667 100455 113125 149325 152625 167425 221001 248875 254375 339375 368335 502275 746625 763125 837125 1105005 1244375 1841675 2511375 3733125 4185625 5525025 9208375 12556875 27625125 46041875 138125625