133412300 has 108 divisors (see below), whose sum is σ = 354742920. Its totient is φ = 43303680.

The previous prime is 133412297. The next prime is 133412309. The reversal of 133412300 is 3214331.

133412300 = 1626² + 1627² + ... + 1674².

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (133412309) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 92384 + ... + 93816.

Almost surely, 2^133412300 is an apocalyptic number.

133412300 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 133412300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177371460).

133412300 is an abundant number, since it is smaller than the sum of its proper divisors (221330620).

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

133412300 is a wasteful number, since it uses less digits than its factorization.

133412300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 133412300 is about 11550.4242346331. The cubic root of 133412300 is about 510.9737898610.

Adding to 133412300 its reverse (3214331), we get a palindrome (136626631).

The spelling of 133412300 in words is "one hundred thirty-three million, four hundred twelve thousand, three hundred".