133512000 has 112 divisors (see below), whose sum is σ = 440935872. Its totient is φ = 35596800.

The previous prime is 133511977. The next prime is 133512011. The reversal of 133512000 is 215331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21219 + ... + 26781.

Almost surely, 2^133512000 is an apocalyptic number.

133512000 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 133512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220467936).

133512000 is an abundant number, since it is smaller than the sum of its proper divisors (307423872).

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

133512000 is an equidigital number, since it uses as much as digits as its factorization.

133512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5593 (or 5573 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 133512000 is about 11554.7392874093. The cubic root of 133512000 is about 511.1010429999.

Adding to 133512000 its reverse (215331), we get a palindrome (133727331).

It can be divided in two parts, 13351 and 2000, that added together give a palindrome (15351).

The spelling of 133512000 in words is "one hundred thirty-three million, five hundred twelve thousand".