132818400 has 576 divisors, whose sum is σ = 577463040. Its totient is φ = 29030400.

The previous prime is 132818383. The next prime is 132818429. The reversal of 132818400 is 4818231.

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

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, 3088779 + ... + 3088821.

It is an arithmetic number, because the mean of its divisors is an integer number (1002540).

Almost surely, 2^132818400 is an apocalyptic number.

132818400 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 132818400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288731520).

132818400 is an abundant number, since it is smaller than the sum of its proper divisors (444644640).

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

132818400 is a wasteful number, since it uses less digits than its factorization.

132818400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 132818400 is about 11524.6865467135. The cubic root of 132818400 is about 510.2144426914.

The spelling of 132818400 in words is "one hundred thirty-two million, eight hundred eighteen thousand, four hundred".