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132415125 = 3531720771
BaseRepresentation
bin1111110010001…
…11111010010101
3100020011101101220
413321013322111
5232344241000
621050040553
73165336633
oct771077225
9306141356
10132415125
1168821497
1238419159
1321582b5b
141382c353
15b9591a0
hex7e47e95

132415125 has 32 divisors (see below), whose sum is σ = 233311104. Its totient is φ = 66464000.

The previous prime is 132415109. The next prime is 132415133. The reversal of 132415125 is 521514231.

It is a happy number.

It is not a de Polignac number, because 132415125 - 24 = 132415109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132415095 and 132415104.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4011 + ... + 16760.

It is an arithmetic number, because the mean of its divisors is an integer number (7290972).

Almost surely, 2132415125 is an apocalyptic number.

132415125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132415125 is a deficient number, since it is larger than the sum of its proper divisors (100895979).

132415125 is a wasteful number, since it uses less digits than its factorization.

132415125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20806 (or 20796 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 132415125 is about 11507.1771082225. The cubic root of 132415125 is about 509.6975330690.

Adding to 132415125 its reverse (521514231), we get a palindrome (653929356).

The spelling of 132415125 in words is "one hundred thirty-two million, four hundred fifteen thousand, one hundred twenty-five".

Divisors: 1 3 5 15 17 25 51 75 85 125 255 375 425 1275 2125 6375 20771 62313 103855 311565 353107 519275 1059321 1557825 1765535 2596375 5296605 7789125 8827675 26483025 44138375 132415125