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131088125 = 54719283
BaseRepresentation
bin1111101000000…
…11111011111101
3100010122222002202
413310003323331
5232024310000
621001401245
73151142060
oct764037375
9303588082
10131088125
1167aa54a3
1237a99225
1321209b4c
14135a48d7
15b795dd5
hex7d03efd

131088125 has 60 divisors (see below), whose sum is σ = 199960992. Its totient is φ = 84132000.

The previous prime is 131088121. The next prime is 131088127. The reversal of 131088125 is 521880131.

It is not a de Polignac number, because 131088125 - 22 = 131088121 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131088121) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1579334 + ... + 1579416.

Almost surely, 2131088125 is an apocalyptic number.

It is an amenable number.

131088125 is a deficient number, since it is larger than the sum of its proper divisors (68872867).

131088125 is an frugal number, since it uses more digits than its factorization.

131088125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 29.

The square root of 131088125 is about 11449.3722535343. The cubic root of 131088125 is about 507.9891665390.

The spelling of 131088125 in words is "one hundred thirty-one million, eighty-eight thousand, one hundred twenty-five".

Divisors: 1 5 7 19 25 35 83 95 125 133 175 361 415 475 581 625 665 875 1577 1805 2075 2375 2527 2905 3325 4375 7885 9025 10375 11039 11875 12635 14525 16625 29963 39425 45125 51875 55195 63175 72625 83125 149815 197125 209741 225625 275975 315875 363125 749075 985625 1048705 1379875 1579375 3745375 5243525 6899375 18726875 26217625 131088125