133518100 has 36 divisors (see below), whose sum is σ = 290237500. Its totient is φ = 53314560.

The previous prime is 133518083. The next prime is 133518103. The reversal of 133518100 is 1815331.

It can be written as a sum of positive squares in 6 ways, for example, as 5466244 + 128051856 = 2338^2 + 11316^2 .

It is a super-2 number, since 2×133518100² = 35654166055220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133518103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106276 + ... + 107524.

Almost surely, 2^133518100 is an apocalyptic number.

133518100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133518100 is an abundant number, since it is smaller than the sum of its proper divisors (156719400).

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

133518100 is a wasteful number, since it uses less digits than its factorization.

133518100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332 (or 2325 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 133518100 is about 11555.0032453479. The cubic root of 133518100 is about 511.1088267419.

The spelling of 133518100 in words is "one hundred thirty-three million, five hundred eighteen thousand, one hundred".