132196800 has 84 divisors (see below), whose sum is σ = 433731416. Its totient is φ = 35251200.

The previous prime is 132196793. The next prime is 132196807. The reversal of 132196800 is 8691231.

It is an interprime number because it is at equal distance from previous prime (132196793) and next prime (132196807).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132196807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8971 + ... + 18570.

Almost surely, 2^132196800 is an apocalyptic number.

132196800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132196800 is an abundant number, since it is smaller than the sum of its proper divisors (301534616).

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

132196800 is a wasteful number, since it uses less digits than its factorization.

132196800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27566 (or 27551 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 132196800 is about 11497.6867238588. The cubic root of 132196800 is about 509.4172505634.

The spelling of 132196800 in words is "one hundred thirty-two million, one hundred ninety-six thousand, eight hundred".