133015000 has 80 divisors (see below), whose sum is σ = 320522400. Its totient is φ = 51696000.

The previous prime is 133014961. The next prime is 133015007. The reversal of 133015000 is 510331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133015007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 184641 + ... + 185359.

It is an arithmetic number, because the mean of its divisors is an integer number (4006530).

Almost surely, 2^133015000 is an apocalyptic number.

133015000 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 133015000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160261200).

133015000 is an abundant number, since it is smaller than the sum of its proper divisors (187507400).

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

133015000 is an equidigital number, since it uses as much as digits as its factorization.

133015000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 13.

The square root of 133015000 is about 11533.2129088125. The cubic root of 133015000 is about 510.4660612108.

Adding to 133015000 its reverse (510331), we get a palindrome (133525331).

The spelling of 133015000 in words is "one hundred thirty-three million, fifteen thousand".