133120200 has 192 divisors, whose sum is σ = 452113920. Its totient is φ = 32256000.

The previous prime is 133120199. The next prime is 133120201. The reversal of 133120200 is 2021331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (133120199) and next prime (133120201).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (133120201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 315990 + ... + 316410.

It is an arithmetic number, because the mean of its divisors is an integer number (2354760).

Almost surely, 2^133120200 is an apocalyptic number.

133120200 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 133120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226056960).

133120200 is an abundant number, since it is smaller than the sum of its proper divisors (318993720).

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

133120200 is a wasteful number, since it uses less digits than its factorization.

133120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 133120200 is about 11537.7727486721. The cubic root of 133120200 is about 510.6005996180.

Adding to 133120200 its reverse (2021331), we get a palindrome (135141531).

It can be divided in two parts, 13 and 3120200, that added together give a palindrome (3120213).

The spelling of 133120200 in words is "one hundred thirty-three million, one hundred twenty thousand, two hundred".