132420400 has 60 divisors (see below), whose sum is σ = 363596272. Its totient is φ = 45400320.

The previous prime is 132420391. The next prime is 132420401. The reversal of 132420400 is 4024231.

132420400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132420401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20847 + ... + 26446.

Almost surely, 2^132420400 is an apocalyptic number.

132420400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132420400 is an abundant number, since it is smaller than the sum of its proper divisors (231175872).

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

132420400 is a wasteful number, since it uses less digits than its factorization.

132420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47318 (or 47307 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 132420400 is about 11507.4063107201. The cubic root of 132420400 is about 509.7043012253.

Adding to 132420400 its reverse (4024231), we get a palindrome (136444631).

The spelling of 132420400 in words is "one hundred thirty-two million, four hundred twenty thousand, four hundred".