133407000 has 256 divisors, whose sum is σ = 475862400. Its totient is φ = 34992000.

The previous prime is 133406971. The next prime is 133407011. The reversal of 133407000 is 704331.

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

It is a nialpdrome in base 15.

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, 2186970 + ... + 2187030.

Almost surely, 2^133407000 is an apocalyptic number.

133407000 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 133407000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237931200).

133407000 is an abundant number, since it is smaller than the sum of its proper divisors (342455400).

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

133407000 is an frugal number, since it uses more digits than its factorization.

133407000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 133407000 is about 11550.1948035520. The cubic root of 133407000 is about 510.9670233761.

The spelling of 133407000 in words is "one hundred thirty-three million, four hundred seven thousand".