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132142125 = 353292419
BaseRepresentation
bin1111110000001…
…01010000101101
3100012122111220210
413320011100231
5232312022000
621040133033
73163122003
oct770052055
9305574823
10132142125
1168655375
1238307179
13214b880b
141379aa73
15b903350
hex7e0542d

132142125 has 48 divisors (see below), whose sum is σ = 228271680. Its totient is φ = 67883200.

The previous prime is 132142097. The next prime is 132142159. The reversal of 132142125 is 521241231.

It is not a de Polignac number, because 132142125 - 28 = 132141869 is a prime.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 315166 + ... + 315584.

It is an arithmetic number, because the mean of its divisors is an integer number (4755660).

Almost surely, 2132142125 is an apocalyptic number.

132142125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132142125 is a deficient number, since it is larger than the sum of its proper divisors (96129555).

132142125 is an equidigital number, since it uses as much as digits as its factorization.

132142125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 456 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 132142125 is about 11495.3088257776. The cubic root of 132142125 is about 509.3470112715.

Adding to 132142125 its reverse (521241231), we get a palindrome (653383356).

The spelling of 132142125 in words is "one hundred thirty-two million, one hundred forty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 29 75 87 125 145 375 419 435 725 841 1257 2095 2175 2523 3625 4205 6285 10475 10875 12151 12615 21025 31425 36453 52375 60755 63075 105125 157125 182265 303775 315375 352379 911325 1057137 1518875 1761895 4556625 5285685 8809475 26428425 44047375 132142125