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132138328 = 237532112
BaseRepresentation
bin1111110000001…
…00010101011000
3100012122022201011
413320010111120
5232311411303
621040103304
73163104640
oct770042530
9305568634
10132138328
1168652533
1238304b34
13214b6b7a
1413799520
15b90216d
hex7e04558

132138328 has 48 divisors (see below), whose sum is σ = 289869840. Its totient is φ = 55298880.

The previous prime is 132138319. The next prime is 132138329. The reversal of 132138328 is 823831231.

132138328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 132138328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132138329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 626143 + ... + 626353.

It is an arithmetic number, because the mean of its divisors is an integer number (6038955).

Almost surely, 2132138328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132138328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144934920).

132138328 is an abundant number, since it is smaller than the sum of its proper divisors (157731512).

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

132138328 is an equidigital number, since it uses as much as digits as its factorization.

132138328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 273 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 132138328 is about 11495.1436702635. The cubic root of 132138328 is about 509.3421326629.

Adding to 132138328 its reverse (823831231), we get a palindrome (955969559).

The spelling of 132138328 in words is "one hundred thirty-two million, one hundred thirty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 53 56 106 211 212 371 422 424 742 844 1477 1484 1688 2954 2968 5908 11183 11816 22366 44521 44732 78281 89042 89464 156562 178084 311647 313124 356168 623294 626248 1246588 2359613 2493176 4719226 9438452 16517291 18876904 33034582 66069164 132138328