133020000 has 180 divisors, whose sum is σ = 473332860. Its totient is φ = 35424000.

The previous prime is 133019993. The next prime is 133020001. The reversal of 133020000 is 20331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133020001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 179631 + ... + 180369.

It is an arithmetic number, because the mean of its divisors is an integer number (2629627).

Almost surely, 2^133020000 is an apocalyptic number.

133020000 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 133020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236666430).

133020000 is an abundant number, since it is smaller than the sum of its proper divisors (340312860).

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

133020000 is an equidigital number, since it uses as much as digits as its factorization.

133020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 133020000 is about 11533.4296720447. The cubic root of 133020000 is about 510.4724572271.

Adding to 133020000 its reverse (20331), we get a palindrome (133040331).

It can be divided in two parts, 1 and 33020000, that added together give a triangular number (33020001 = T₈₁₂₆).

The spelling of 133020000 in words is "one hundred thirty-three million, twenty thousand".