133364660 has 144 divisors (see below), whose sum is σ = 351957312. Its totient is φ = 41932800.

The previous prime is 133364659. The next prime is 133364663. The reversal of 133364660 is 66463331.

It is a super-2 number, since 2×133364660² = 35572265073831200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133364663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 631955 + ... + 632165.

It is an arithmetic number, because the mean of its divisors is an integer number (2444148).

Almost surely, 2^133364660 is an apocalyptic number.

133364660 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 133364660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175978656).

133364660 is an abundant number, since it is smaller than the sum of its proper divisors (218592652).

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

133364660 is a wasteful number, since it uses less digits than its factorization.

133364660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 32.

The square root of 133364660 is about 11548.3617885828. The cubic root of 133364660 is about 510.9129616629.

The spelling of 133364660 in words is "one hundred thirty-three million, three hundred sixty-four thousand, six hundred sixty".