132226800 has 120 divisors (see below), whose sum is σ = 426222720. Its totient is φ = 35040000.

The previous prime is 132226777. The next prime is 132226859. The reversal of 132226800 is 8622231.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 300981 + ... + 301419.

It is an arithmetic number, because the mean of its divisors is an integer number (3551856).

Almost surely, 2^132226800 is an apocalyptic number.

132226800 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 132226800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213111360).

132226800 is an abundant number, since it is smaller than the sum of its proper divisors (293995920).

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

132226800 is a wasteful number, since it uses less digits than its factorization.

132226800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 132226800 is about 11498.9912601063. The cubic root of 132226800 is about 509.4557824130.

The spelling of 132226800 in words is "one hundred thirty-two million, two hundred twenty-six thousand, eight hundred".