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132500 = 225453
BaseRepresentation
bin100000010110010100
320201202102
4200112110
513220000
62501232
71061204
oct402624
9221672
10132500
1190605
1264818
1348404
1436404
15293d5
hex20594

132500 has 30 divisors (see below), whose sum is σ = 295218. Its totient is φ = 52000.

The previous prime is 132499. The next prime is 132511. The reversal of 132500 is 5231.

It can be written as a sum of positive squares in 5 ways, for example, as 37636 + 94864 = 194^2 + 308^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2474 + ... + 2526.

2132500 is an apocalyptic number.

132500 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 132500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147609).

132500 is an abundant number, since it is smaller than the sum of its proper divisors (162718).

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

132500 is an equidigital number, since it uses as much as digits as its factorization.

132500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 132500 is about 364.0054944640. The cubic root of 132500 is about 50.9806411211.

Adding to 132500 its reverse (5231), we get a palindrome (137731).

The spelling of 132500 in words is "one hundred thirty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 125 212 250 265 500 530 625 1060 1250 1325 2500 2650 5300 6625 13250 26500 33125 66250 132500