133106900 has 36 divisors (see below), whose sum is σ = 291668832. Its totient is φ = 52721760.

The previous prime is 133106899. The next prime is 133106927. The reversal of 133106900 is 9601331.

It is a super-2 number, since 2×133106900² = 35434893655220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3839 + ... + 16761.

It is an arithmetic number, because the mean of its divisors is an integer number (8101912).

Almost surely, 2^133106900 is an apocalyptic number.

133106900 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 133106900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145834416).

133106900 is an abundant number, since it is smaller than the sum of its proper divisors (158561932).

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

133106900 is a wasteful number, since it uses less digits than its factorization.

133106900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13040 (or 13033 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 23.

The square root of 133106900 is about 11537.1963665355. The cubic root of 133106900 is about 510.5835943998.

The spelling of 133106900 in words is "one hundred thirty-three million, one hundred six thousand, nine hundred".