133205040 has 160 divisors (see below), whose sum is σ = 464970240. Its totient is φ = 35046144.

The previous prime is 133205027. The next prime is 133205053. The reversal of 133205040 is 40502331.

133205040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (133205027) and next prime (133205053).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178909 + ... + 179651.

It is an arithmetic number, because the mean of its divisors is an integer number (2906064).

Almost surely, 2^133205040 is an apocalyptic number.

133205040 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 133205040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232485120).

133205040 is an abundant number, since it is smaller than the sum of its proper divisors (331765200).

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

133205040 is a wasteful number, since it uses less digits than its factorization.

133205040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 133205040 is about 11541.4487825403. The cubic root of 133205040 is about 510.7090483617.

Adding to 133205040 its reverse (40502331), we get a palindrome (173707371).

The spelling of 133205040 in words is "one hundred thirty-three million, two hundred five thousand, forty".