133205940 has 144 divisors (see below), whose sum is σ = 468599040. Its totient is φ = 29998080.

The previous prime is 133205911. The next prime is 133206043. The reversal of 133205940 is 49502331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88716 + ... + 90204.

It is an arithmetic number, because the mean of its divisors is an integer number (3254160).

Almost surely, 2^133205940 is an apocalyptic number.

133205940 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 133205940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234299520).

133205940 is an abundant number, since it is smaller than the sum of its proper divisors (335393100).

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

133205940 is a wasteful number, since it uses less digits than its factorization.

133205940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 133205940 is about 11541.4877723801. The cubic root of 133205940 is about 510.7101985612.

The spelling of 133205940 in words is "one hundred thirty-three million, two hundred five thousand, nine hundred forty".