132630400 has 192 divisors, whose sum is σ = 388546560. Its totient is φ = 43776000.

The previous prime is 132630391. The next prime is 132630401. The reversal of 132630400 is 4036231.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132630401) 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, 694305 + ... + 694495.

It is an arithmetic number, because the mean of its divisors is an integer number (2023680).

Almost surely, 2^132630400 is an apocalyptic number.

132630400 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 132630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194273280).

132630400 is an abundant number, since it is smaller than the sum of its proper divisors (255916160).

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

132630400 is a wasteful number, since it uses less digits than its factorization.

132630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 132630400 is about 11516.5272543419. The cubic root of 132630400 is about 509.9735985308.

Adding to 132630400 its reverse (4036231), we get a palindrome (136666631).

The spelling of 132630400 in words is "one hundred thirty-two million, six hundred thirty thousand, four hundred".