133515000 has 320 divisors, whose sum is σ = 494841600. Its totient is φ = 33264000.

The previous prime is 133514989. The next prime is 133515001. The reversal of 133515000 is 515331.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133515001) 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 79 ways as a sum of consecutive naturals, for example, 3104979 + ... + 3105021.

It is an arithmetic number, because the mean of its divisors is an integer number (1546380).

Almost surely, 2^133515000 is an apocalyptic number.

133515000 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 133515000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247420800).

133515000 is an abundant number, since it is smaller than the sum of its proper divisors (361326600).

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

133515000 is a wasteful number, since it uses less digits than its factorization.

133515000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 133515000 is about 11554.8691035425. The cubic root of 133515000 is about 511.1048710993.

The spelling of 133515000 in words is "one hundred thirty-three million, five hundred fifteen thousand".