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132188525 = 527229612
BaseRepresentation
bin1111110000100…
…00100101101101
3100012201212120022
413320100211231
5232320013100
621041131525
73163404200
oct770204555
9305655508
10132188525
1168687217
1238329ba5
1321503981
14137ad937
15b911e85
hex7e1096d

132188525 has 54 divisors (see below), whose sum is σ = 200536830. Its totient is φ = 86083200.

The previous prime is 132188509. The next prime is 132188543. The reversal of 132188525 is 525881231.

It can be written as a sum of positive squares in 9 ways, for example, as 107765161 + 24423364 = 10381^2 + 4942^2 .

It is not a de Polignac number, because 132188525 - 24 = 132188509 is a prime.

It is a super-2 number, since 2×1321885252 = 34947612283351250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2166995 + ... + 2167055.

It is an arithmetic number, because the mean of its divisors is an integer number (3713645).

Almost surely, 2132188525 is an apocalyptic number.

It is an amenable number.

132188525 is a deficient number, since it is larger than the sum of its proper divisors (68348305).

132188525 is an equidigital number, since it uses as much as digits as its factorization.

132188525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 102 counting only the distinct ones).

The product of its digits is 19200, while the sum is 35.

The square root of 132188525 is about 11497.3268632322. The cubic root of 132188525 is about 509.4066211692.

The spelling of 132188525 in words is "one hundred thirty-two million, one hundred eighty-eight thousand, five hundred twenty-five".

Divisors: 1 5 7 25 29 35 49 61 145 175 203 245 305 427 725 1015 1225 1421 1525 1769 2135 2989 3721 5075 7105 8845 10675 12383 14945 18605 26047 35525 44225 61915 74725 86681 93025 107909 130235 182329 309575 433405 539545 651175 755363 911645 2167025 2697725 3776815 4558225 5287541 18884075 26437705 132188525