133368100 has 36 divisors (see below), whose sum is σ = 299394900. Its totient is φ = 51506560.

The previous prime is 133368083. The next prime is 133368101. The reversal of 133368100 is 1863331.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 28387584 + 104980516 = 5328^2 + 10246^2 .

It is a super-2 number, since 2×133368100² = 35574100195220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (133368101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20095 + ... + 25894.

It is an arithmetic number, because the mean of its divisors is an integer number (8316525).

Almost surely, 2^133368100 is an apocalyptic number.

133368100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133368100 is an abundant number, since it is smaller than the sum of its proper divisors (166026800).

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

133368100 is a wasteful number, since it uses less digits than its factorization.

133368100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46032 (or 46025 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 133368100 is about 11548.5107264963. The cubic root of 133368100 is about 510.9173544445.

The spelling of 133368100 in words is "one hundred thirty-three million, three hundred sixty-eight thousand, one hundred".