132946800 has 480 divisors, whose sum is σ = 553536000. Its totient is φ = 27095040.

The previous prime is 132946799. The next prime is 132946811. The reversal of 132946800 is 8649231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6997191 + ... + 6997209.

It is an arithmetic number, because the mean of its divisors is an integer number (1153200).

Almost surely, 2^132946800 is an apocalyptic number.

132946800 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 132946800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276768000).

132946800 is an abundant number, since it is smaller than the sum of its proper divisors (420589200).

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

132946800 is a wasteful number, since it uses less digits than its factorization.

132946800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 132946800 is about 11530.2558514545. The cubic root of 132946800 is about 510.3788035406.

The spelling of 132946800 in words is "one hundred thirty-two million, nine hundred forty-six thousand, eight hundred".