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132146505 = 335978863
BaseRepresentation
bin1111110000001…
…10010101001001
3100012122201221000
413320012111021
5232312142010
621040205213
73163140531
oct770062511
9305581830
10132146505
1168658697
1238309809
13214ba7ca
141379c4c1
15b9047c0
hex7e06549

132146505 has 16 divisors (see below), whose sum is σ = 234927360. Its totient is φ = 70478064.

The previous prime is 132146503. The next prime is 132146507. The reversal of 132146505 is 505641231.

132146505 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 4 + 650 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (132146503) and next prime (132146507).

It is not a de Polignac number, because 132146505 - 21 = 132146503 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (132146503) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 489297 + ... + 489566.

It is an arithmetic number, because the mean of its divisors is an integer number (14682960).

Almost surely, 2132146505 is an apocalyptic number.

132146505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132146505 is a deficient number, since it is larger than the sum of its proper divisors (102780855).

132146505 is an equidigital number, since it uses as much as digits as its factorization.

132146505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978877 (or 978871 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 132146505 is about 11495.4993366969. The cubic root of 132146505 is about 509.3526388367.

Adding to 132146505 its reverse (505641231), we get a palindrome (637787736).

It can be divided in two parts, 132146 and 505, that added together give a cube (132651 = 513).

The spelling of 132146505 in words is "one hundred thirty-two million, one hundred forty-six thousand, five hundred five".

Divisors: 1 3 5 9 15 27 45 135 978863 2936589 4894315 8809767 14682945 26429301 44048835 132146505