133134400 has 84 divisors (see below), whose sum is σ = 374424448. Its totient is φ = 45642240.

The previous prime is 133134377. The next prime is 133134413. The reversal of 133134400 is 4431331.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5257 + ... + 17143.

Almost surely, 2^133134400 is an apocalyptic number.

133134400 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 133134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187212224).

133134400 is an abundant number, since it is smaller than the sum of its proper divisors (241290048).

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

133134400 is a wasteful number, since it uses less digits than its factorization.

133134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11916 (or 11901 counting only the distinct ones).

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

The square root of 133134400 is about 11538.3881023304. The cubic root of 133134400 is about 510.6187543151.

Adding to 133134400 its reverse (4431331), we get a palindrome (137565731).

The spelling of 133134400 in words is "one hundred thirty-three million, one hundred thirty-four thousand, four hundred".