132610000 has 100 divisors (see below), whose sum is σ = 326848500. Its totient is φ = 52096000.

The previous prime is 132609991. The next prime is 132610021. The reversal of 132610000 is 16231.

It can be written as a sum of positive squares in 10 ways, for example, as 130782096 + 1827904 = 11436^2 + 1352^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 889926 + ... + 890074.

It is an arithmetic number, because the mean of its divisors is an integer number (3268485).

Almost surely, 2^132610000 is an apocalyptic number.

132610000 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 132610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163424250).

132610000 is an abundant number, since it is smaller than the sum of its proper divisors (194238500).

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

132610000 is an equidigital number, since it uses as much as digits as its factorization.

132610000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 132610000 is about 11515.6415366231. The cubic root of 132610000 is about 509.9474506922.

Adding to 132610000 its reverse (16231), we get a palindrome (132626231).

The spelling of 132610000 in words is "one hundred thirty-two million, six hundred ten thousand".