133012000 has 96 divisors (see below), whose sum is σ = 356638464. Its totient is φ = 48352000.

The previous prime is 133011947. The next prime is 133012001. The reversal of 133012000 is 210331.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133012001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42489 + ... + 45511.

It is an arithmetic number, because the mean of its divisors is an integer number (3714984).

Almost surely, 2^133012000 is an apocalyptic number.

133012000 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 133012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178319232).

133012000 is an abundant number, since it is smaller than the sum of its proper divisors (223626464).

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

133012000 is a wasteful number, since it uses less digits than its factorization.

133012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3059 (or 3041 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 133012000 is about 11533.0828489177. The cubic root of 133012000 is about 510.4622235241.

Adding to 133012000 its reverse (210331), we get a palindrome (133222331).

The spelling of 133012000 in words is "one hundred thirty-three million, twelve thousand".