133422400 has 42 divisors (see below), whose sum is σ = 328306430. Its totient is φ = 53368320.

The previous prime is 133422397. The next prime is 133422403. The reversal of 133422400 is 4224331.

It is an interprime number because it is at equal distance from previous prime (133422397) and next prime (133422403).

It can be written as a sum of positive squares in 3 ways, for example, as 8340544 + 125081856 = 2888^2 + 11184^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133422403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 40095 + ... + 43294.

Almost surely, 2^133422400 is an apocalyptic number.

133422400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133422400 is an abundant number, since it is smaller than the sum of its proper divisors (194884030).

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

133422400 is an equidigital number, since it uses as much as digits as its factorization.

133422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83411 (or 83396 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 133422400 is about 11550.8614397369. The cubic root of 133422400 is about 510.9866839871.

Adding to 133422400 its reverse (4224331), we get a palindrome (137646731).

The spelling of 133422400 in words is "one hundred thirty-three million, four hundred twenty-two thousand, four hundred".