133542400 has 60 divisors (see below), whose sum is σ = 330893442. Its totient is φ = 53411840.

The previous prime is 133542379. The next prime is 133542401. The reversal of 133542400 is 4245331.

It can be written as a sum of positive squares in 3 ways, for example, as 107163904 + 26378496 = 10352^2 + 5136^2 .

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (133542401) 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 5 ways as a sum of consecutive naturals, for example, 7584 + ... + 18016.

Almost surely, 2^133542400 is an apocalyptic number.

133542400 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 133542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165446721).

133542400 is an abundant number, since it is smaller than the sum of its proper divisors (197351042).

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

133542400 is an equidigital number, since it uses as much as digits as its factorization.

133542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10461 (or 10440 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 133542400 is about 11556.0546900748. The cubic root of 133542400 is about 511.1398317544.

Adding to 133542400 its reverse (4245331), we get a palindrome (137787731).

The spelling of 133542400 in words is "one hundred thirty-three million, five hundred forty-two thousand, four hundred".