133518000 has 480 divisors, whose sum is σ = 570106368. Its totient is φ = 26112000.

The previous prime is 133517963. The next prime is 133518019. The reversal of 133518000 is 815331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7853992 + ... + 7854008.

Almost surely, 2^133518000 is an apocalyptic number.

133518000 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 133518000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285053184).

133518000 is an abundant number, since it is smaller than the sum of its proper divisors (436588368).

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

133518000 is a wasteful number, since it uses less digits than its factorization.

133518000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 133518000 is about 11554.9989182172. The cubic root of 133518000 is about 511.1086991415.

The spelling of 133518000 in words is "one hundred thirty-three million, five hundred eighteen thousand".