132301000 has 64 divisors (see below), whose sum is σ = 333431280. Its totient is φ = 48844800.

The previous prime is 132300997. The next prime is 132301003. The reversal of 132301000 is 103231.

132301000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (132300997) and next prime (132301003).

It can be written as a sum of positive squares in 8 ways, for example, as 556516 + 131744484 = 746^2 + 11478^2 .

It is a super-3 number, since 3×132301000³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (132301003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7912 + ... + 18088.

Almost surely, 2^132301000 is an apocalyptic number.

132301000 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 132301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166715640).

132301000 is an abundant number, since it is smaller than the sum of its proper divisors (201130280).

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

132301000 is a wasteful number, since it uses less digits than its factorization.

132301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10211 (or 10197 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 132301000 is about 11502.2171775706. The cubic root of 132301000 is about 509.5510594934.

Adding to 132301000 its reverse (103231), we get a palindrome (132404231).

The spelling of 132301000 in words is "one hundred thirty-two million, three hundred one thousand".