132552400 has 120 divisors (see below), whose sum is σ = 342292824. Its totient is φ = 49152000.

The previous prime is 132552391. The next prime is 132552403. The reversal of 132552400 is 4255231.

It can be written as a sum of positive squares in 12 ways, for example, as 6843456 + 125708944 = 2616^2 + 11212^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132552403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 686704 + ... + 686896.

Almost surely, 2^132552400 is an apocalyptic number.

132552400 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 132552400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171146412).

132552400 is an abundant number, since it is smaller than the sum of its proper divisors (209740424).

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

132552400 is a wasteful number, since it uses less digits than its factorization.

132552400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 132552400 is about 11513.1403187836. The cubic root of 132552400 is about 509.8736070229.

The spelling of 132552400 in words is "one hundred thirty-two million, five hundred fifty-two thousand, four hundred".