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132143120 = 24515110939
BaseRepresentation
bin1111110000001…
…01100000010000
3100012122120021122
413320011200100
5232312034440
621040141412
73163124624
oct770054020
9305576248
10132143120
116865609a
1238307868
13214b90c5
141379b184
15b9037b5
hex7e05810

132143120 has 40 divisors (see below), whose sum is σ = 309295680. Its totient is φ = 52502400.

The previous prime is 132143107. The next prime is 132143131. The reversal of 132143120 is 21341231.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6611 + ... + 17549.

It is an arithmetic number, because the mean of its divisors is an integer number (7732392).

Almost surely, 2132143120 is an apocalyptic number.

132143120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132143120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154647840).

132143120 is an abundant number, since it is smaller than the sum of its proper divisors (177152560).

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

132143120 is a wasteful number, since it uses less digits than its factorization.

132143120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11103 (or 11097 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 132143120 is about 11495.3521042202. The cubic root of 132143120 is about 509.3482896905.

Adding to 132143120 its reverse (21341231), we get a palindrome (153484351).

The spelling of 132143120 in words is "one hundred thirty-two million, one hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 151 302 604 755 1208 1510 2416 3020 6040 10939 12080 21878 43756 54695 87512 109390 175024 218780 437560 875120 1651789 3303578 6607156 8258945 13214312 16517890 26428624 33035780 66071560 132143120