133138100 has 18 divisors (see below), whose sum is σ = 288909894. Its totient is φ = 53255200.

The previous prime is 133138097. The next prime is 133138121. The reversal of 133138100 is 1831331.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1623076 + 131515024 = 1274^2 + 11468^2 .

It is a super-2 number, since 2×133138100² = 35451507343220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 665591 + ... + 665790.

Almost surely, 2^133138100 is an apocalyptic number.

133138100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133138100 is an abundant number, since it is smaller than the sum of its proper divisors (155771794).

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

133138100 is a wasteful number, since it uses less digits than its factorization.

133138100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331395 (or 1331388 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 133138100 is about 11538.5484355702. The cubic root of 133138100 is about 510.6234845523.

Adding to 133138100 its reverse (1831331), we get a palindrome (134969431).

The spelling of 133138100 in words is "one hundred thirty-three million, one hundred thirty-eight thousand, one hundred".