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125148969 = 341121132
BaseRepresentation
bin1110111010110…
…01111100101001
322201111020010000
413131121330221
5224014231334
620230213213
73046514541
oct735317451
9281436100
10125148969
1164709300
1235ab4209
131cc0a75a
141289a321
15aec1299
hex7759f29

125148969 has 45 divisors (see below), whose sum is σ = 207326119. Its totient is φ = 75176640.

The previous prime is 125148941. The next prime is 125148973. The reversal of 125148969 is 969841521.

The square root of 125148969 is 11187.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2205225 + 122943744 = 1485^2 + 11088^2 .

It is not a de Polignac number, because 125148969 - 27 = 125148841 is a prime.

It is a super-2 number, since 2×1251489692 = 31324528883525922, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (125148929) 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 44 ways as a sum of consecutive naturals, for example, 1107457 + ... + 1107569.

Almost surely, 2125148969 is an apocalyptic number.

125148969 is the 11187-th square number.

125148969 is the 5594-th centered octagonal number.

It is an amenable number.

125148969 is a deficient number, since it is larger than the sum of its proper divisors (82177150).

125148969 is an equidigital number, since it uses as much as digits as its factorization.

125148969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 127 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The cubic root of 125148969 is about 500.1985464815.

The spelling of 125148969 in words is "one hundred twenty-five million, one hundred forty-eight thousand, nine hundred sixty-nine".

Divisors: 1 3 9 11 27 33 81 99 113 121 297 339 363 891 1017 1089 1243 3051 3267 3729 9153 9801 11187 12769 13673 33561 38307 41019 100683 114921 123057 140459 344763 369171 421377 1034289 1107513 1264131 1545049 3792393 4635147 11377179 13905441 41716323 125148969