133430400 has 288 divisors, whose sum is σ = 492038820. Its totient is φ = 34406400.

The previous prime is 133430389. The next prime is 133430449. The reversal of 133430400 is 4034331.

It can be written as a sum of positive squares in 6 ways, for example, as 166464 + 133263936 = 408^2 + 11544^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1180744 + ... + 1180856.

Almost surely, 2^133430400 is an apocalyptic number.

133430400 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 133430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246019410).

133430400 is an abundant number, since it is smaller than the sum of its proper divisors (358608420).

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

133430400 is a wasteful number, since it uses less digits than its factorization.

133430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 133430400 is about 11551.2077290645. The cubic root of 133430400 is about 510.9968966944.

Adding to 133430400 its reverse (4034331), we get a palindrome (137464731).

The spelling of 133430400 in words is "one hundred thirty-three million, four hundred thirty thousand, four hundred".