133642400 has 72 divisors (see below), whose sum is σ = 330096060. Its totient is φ = 52828160.

The previous prime is 133642387. The next prime is 133642403. The reversal of 133642400 is 4246331.

It is a happy number.

133642400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 35473936 + 98168464 = 5956^2 + 9908^2 .

It is not an unprimeable number, because it can be changed into a prime (133642403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70262 + ... + 72138.

Almost surely, 2^133642400 is an apocalyptic number.

133642400 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 133642400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165048030).

133642400 is an abundant number, since it is smaller than the sum of its proper divisors (196453660).

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

133642400 is a wasteful number, since it uses less digits than its factorization.

133642400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986 (or 1973 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 133642400 is about 11560.3806165714. The cubic root of 133642400 is about 511.2673848262.

Adding to 133642400 its reverse (4246331), we get a palindrome (137888731).

The spelling of 133642400 in words is "one hundred thirty-three million, six hundred forty-two thousand, four hundred".