132338000 has 40 divisors (see below), whose sum is σ = 319998120. Its totient is φ = 52934400.

The previous prime is 132337967. The next prime is 132338009. The reversal of 132338000 is 833231.

It can be written as a sum of positive squares in 4 ways, for example, as 6270016 + 126067984 = 2504^2 + 11228^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132338009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31085 + ... + 35084.

It is an arithmetic number, because the mean of its divisors is an integer number (7999953).

Almost surely, 2^132338000 is an apocalyptic number.

132338000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132338000 is an abundant number, since it is smaller than the sum of its proper divisors (187660120).

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

132338000 is an equidigital number, since it uses as much as digits as its factorization.

132338000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66192 (or 66176 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 132338000 is about 11503.8254506925. The cubic root of 132338000 is about 509.5985563174.

The spelling of 132338000 in words is "one hundred thirty-two million, three hundred thirty-eight thousand".