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132141006 = 23261151797
BaseRepresentation
bin1111110000001…
…00111111001110
3100012122110101100
413320010333032
5232312003011
621040123530
73163115514
oct770047716
9305573340
10132141006
1168654548
12383065a6
13214b815a
141379a4b4
15b902d56
hex7e04fce

132141006 has 48 divisors (see below), whose sum is σ = 293293728. Its totient is φ = 42984000.

The previous prime is 132140993. The next prime is 132141043. The reversal of 132141006 is 600141231.

It is a happy number.

It is a super-2 number, since 2×1321410062 = 34922490933384072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 132141006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165400 + ... + 166196.

It is an arithmetic number, because the mean of its divisors is an integer number (6110286).

Almost surely, 2132141006 is an apocalyptic number.

132141006 is an abundant number, since it is smaller than the sum of its proper divisors (161152722).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132141006 is a wasteful number, since it uses less digits than its factorization.

132141006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 132141006 is about 11495.2601536459. The cubic root of 132141006 is about 509.3455735243.

Adding to 132141006 its reverse (600141231), we get a palindrome (732282237).

The spelling of 132141006 in words is "one hundred thirty-two million, one hundred forty-one thousand, six".

Divisors: 1 2 3 6 9 18 61 122 151 183 302 366 453 549 797 906 1098 1359 1594 2391 2718 4782 7173 9211 14346 18422 27633 48617 55266 82899 97234 120347 145851 165798 240694 291702 361041 437553 722082 875106 1083123 2166246 7341167 14682334 22023501 44047002 66070503 132141006