132510000 has 200 divisors, whose sum is σ = 489643264. Its totient is φ = 30240000.

The previous prime is 132509999. The next prime is 132510011. The reversal of 132510000 is 15231.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 209685 + ... + 210315.

Almost surely, 2^132510000 is an apocalyptic number.

132510000 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 132510000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244821632).

132510000 is an abundant number, since it is smaller than the sum of its proper divisors (357133264).

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

132510000 is an equidigital number, since it uses as much as digits as its factorization.

132510000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 132510000 is about 11511.2987972687. The cubic root of 132510000 is about 509.8192362070.

Adding to 132510000 its reverse (15231), we get a palindrome (132525231).

It can be divided in two parts, 1325 and 10000, that added together give a triangular number (11325 = T₁₅₀).

The spelling of 132510000 in words is "one hundred thirty-two million, five hundred ten thousand".