133434000 has 320 divisors, whose sum is σ = 547822080. Its totient is φ = 30412800.

The previous prime is 133433983. The next prime is 133434047. The reversal of 133434000 is 434331.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 377824 + ... + 378176.

It is an arithmetic number, because the mean of its divisors is an integer number (1711944).

Almost surely, 2^133434000 is an apocalyptic number.

133434000 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 133434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273911040).

133434000 is an abundant number, since it is smaller than the sum of its proper divisors (414388080).

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

133434000 is a wasteful number, since it uses less digits than its factorization.

133434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 370 counting only the distinct ones).

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

The square root of 133434000 is about 11551.3635558751. The cubic root of 133434000 is about 511.0014922796.

Adding to 133434000 its reverse (434331), we get a palindrome (133868331).

The spelling of 133434000 in words is "one hundred thirty-three million, four hundred thirty-four thousand".