132314000 has 160 divisors (see below), whose sum is σ = 394308096. Its totient is φ = 41817600.

The previous prime is 132313999. The next prime is 132314027. The reversal of 132314000 is 413231.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181637 + ... + 182363.

Almost surely, 2^132314000 is an apocalyptic number.

132314000 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 132314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197154048).

132314000 is an abundant number, since it is smaller than the sum of its proper divisors (261994096).

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

132314000 is a wasteful number, since it uses less digits than its factorization.

132314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 132314000 is about 11502.7822721288. The cubic root of 132314000 is about 509.5677485757.

Adding to 132314000 its reverse (413231), we get a palindrome (132727231).

The spelling of 132314000 in words is "one hundred thirty-two million, three hundred fourteen thousand".