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132123132 = 223223159569
BaseRepresentation
bin1111110000000…
…00100111111100
3100012121112212100
413320000213330
5232310420012
621035505100
73163012431
oct770004774
9305545770
10132123132
1168642079
12382b8190
13214acc8b
1413793b88
15b8ec8dc
hex7e009fc

132123132 has 36 divisors (see below), whose sum is σ = 348500880. Its totient is φ = 42125952.

The previous prime is 132123113. The next prime is 132123143. The reversal of 132123132 is 231321231.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78957 + ... + 80612.

It is an arithmetic number, because the mean of its divisors is an integer number (9680580).

Almost surely, 2132123132 is an apocalyptic number.

132123132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132123132 is an abundant number, since it is smaller than the sum of its proper divisors (216377748).

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

132123132 is a wasteful number, since it uses less digits than its factorization.

132123132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159602 (or 159597 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 132123132 is about 11494.4826764844. The cubic root of 132123132 is about 509.3226070141.

Adding to 132123132 its reverse (231321231), we get a palindrome (363444363).

The spelling of 132123132 in words is "one hundred thirty-two million, one hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 159569 319138 478707 638276 957414 1436121 1914828 2872242 3670087 5744484 7340174 11010261 14680348 22020522 33030783 44041044 66061566 132123132