133056100 has 36 divisors (see below), whose sum is σ = 289982308. Its totient is φ = 52992000.

The previous prime is 133056083. The next prime is 133056101. The reversal of 133056100 is 1650331.

133056100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1999396 + 131056704 = 1414^2 + 11448^2 .

It is not an unprimeable number, because it can be changed into a prime (133056101) 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, 21340 + ... + 26860.

Almost surely, 2^133056100 is an apocalyptic number.

133056100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133056100 is an abundant number, since it is smaller than the sum of its proper divisors (156926208).

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

133056100 is a wasteful number, since it uses less digits than its factorization.

133056100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5776 (or 5769 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 133056100 is about 11534.9945817066. The cubic root of 133056100 is about 510.5186317094.

The spelling of 133056100 in words is "one hundred thirty-three million, fifty-six thousand, one hundred".