132814000 has 80 divisors (see below), whose sum is σ = 350397216. Its totient is φ = 48288000.

The previous prime is 132813977. The next prime is 132814037. The reversal of 132814000 is 418231.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18982 + ... + 25018.

Almost surely, 2^132814000 is an apocalyptic number.

132814000 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 132814000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175198608).

132814000 is an abundant number, since it is smaller than the sum of its proper divisors (217583216).

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

132814000 is a wasteful number, since it uses less digits than its factorization.

132814000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6071 (or 6055 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 132814000 is about 11524.4956505697. The cubic root of 132814000 is about 510.2088085113.

The spelling of 132814000 in words is "one hundred thirty-two million, eight hundred fourteen thousand".