132823800 has 168 divisors, whose sum is σ = 463519440. Its totient is φ = 35380800.

The previous prime is 132823793. The next prime is 132823807. The reversal of 132823800 is 8328231.

132823800 is a `hidden beast` number, since 1 + 3 + 282 + 380 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (132823793) and next prime (132823807).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132823807) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 145345 + ... + 146255.

Almost surely, 2^132823800 is an apocalyptic number.

132823800 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 132823800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231759720).

132823800 is an abundant number, since it is smaller than the sum of its proper divisors (330695640).

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

132823800 is an equidigital number, since it uses as much as digits as its factorization.

132823800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 132823800 is about 11524.9208240230. The cubic root of 132823800 is about 510.2213571968.

The spelling of 132823800 in words is "one hundred thirty-two million, eight hundred twenty-three thousand, eight hundred".